データ分析の準備
パッケージのインストール
install.packages("ggplot2")
install.packages("datasets")
install.packages("jtools")
install.packages("ggstance")
install.packages("broom")
library(ggplot2)
library(datasets)
library(jtools)
library(ggstance)
library(broom)
データの要約
datasets
パッケージのwarpbreaks
データを用います
warpbreaks
データの統計量は以下のようになります。平均と比較して分散が非常に大きいため、過分散なデータであると言えます。
summary(warpbreaks)
breaks wool tension
Min. :10.00 A:27 L:18
1st Qu.:18.25 B:27 M:18
Median :26.00 H:18
Mean :28.15
3rd Qu.:34.00
Max. :70.00
c(mean=mean(warpbreaks$breaks), var=var(warpbreaks$breaks), ratio=var(warpbreaks$breaks)/mean(warpbreaks$breaks))
mean var ratio
28.148148 174.204053 6.188828
ggplot2::ggplot(warpbreaks, ggplot2::aes(x=breaks)) +
ggplot2::geom_histogram()
![](data:image/png;base64,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)
ggplot2::ggplot(warpbreaks, ggplot2::aes(x=breaks, fill=wool)) +
ggplot2::geom_histogram(position = "identity", alpha = 0.5)
![](data:image/png;base64,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)
ggplot2::ggplot(warpbreaks, ggplot2::aes(x=breaks, fill=tension)) +
ggplot2::geom_histogram(position = "identity", alpha = 0.5)
![](data:image/png;base64,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)
モデルの推定
ポアソン回帰モデルの推定
glm()
関数を用いてポアソン回帰モデルを推定します。リンク関数をfamily = poisson(link = "log")
と指定します。
wb.poisson <- glm(breaks~wool+tension, data=warpbreaks,
family = poisson(link = "log"))
summary(wb.poisson)
Call:
glm(formula = breaks ~ wool + tension, family = poisson(link = "log"),
data = warpbreaks)
Deviance Residuals:
Min 1Q Median 3Q Max
-3.6871 -1.6503 -0.4269 1.1902 4.2616
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 3.69196 0.04541 81.302 < 2e-16 ***
woolB -0.20599 0.05157 -3.994 6.49e-05 ***
tensionM -0.32132 0.06027 -5.332 9.73e-08 ***
tensionH -0.51849 0.06396 -8.107 5.21e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 297.37 on 53 degrees of freedom
Residual deviance: 210.39 on 50 degrees of freedom
AIC: 493.06
Number of Fisher Scoring iterations: 4
疑似ポアソン回帰モデルの推定
glm()
関数を用いて疑似ポアソン回帰モデルを推定します。リンク関数をfamily = quasipoisson(link = "log")
と指定します。
wb.qpoisson <- glm(breaks~wool+tension, data=warpbreaks,
family = quasipoisson(link = "log"))
summary(wb.qpoisson)
Call:
glm(formula = breaks ~ wool + tension, family = quasipoisson(link = "log"),
data = warpbreaks)
Deviance Residuals:
Min 1Q Median 3Q Max
-3.6871 -1.6503 -0.4269 1.1902 4.2616
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.69196 0.09374 39.384 < 2e-16 ***
woolB -0.20599 0.10646 -1.935 0.058673 .
tensionM -0.32132 0.12441 -2.583 0.012775 *
tensionH -0.51849 0.13203 -3.927 0.000264 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
(Dispersion parameter for quasipoisson family taken to be 4.261537)
Null deviance: 297.37 on 53 degrees of freedom
Residual deviance: 210.39 on 50 degrees of freedom
AIC: NA
Number of Fisher Scoring iterations: 4
負の二項分布モデルの推定
MASS
パッケージのglm.nb()
関数を用い負の二項分布モデルを推定します。
library(MASS)
wb.negbin <- glm.nb(breaks~wool+tension, data=warpbreaks)
summary(wb.negbin)
Call:
glm.nb(formula = breaks ~ wool + tension, data = warpbreaks,
init.theta = 9.944385436, link = log)
Deviance Residuals:
Min 1Q Median 3Q Max
-2.0144 -0.9319 -0.2240 0.5828 1.8220
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 3.6734 0.0979 37.520 < 2e-16 ***
woolB -0.1862 0.1010 -1.844 0.0651 .
tensionM -0.2992 0.1217 -2.458 0.0140 *
tensionH -0.5114 0.1237 -4.133 3.58e-05 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
(Dispersion parameter for Negative Binomial(9.9444) family taken to be 1)
Null deviance: 75.464 on 53 degrees of freedom
Residual deviance: 53.723 on 50 degrees of freedom
AIC: 408.76
Number of Fisher Scoring iterations: 1
Theta: 9.94
Std. Err.: 2.56
2 x log-likelihood: -398.764
モデル間のパラメータ比較
jtools
パッケージのplot_summs()
関数を用いて、モデルパラメータを視覚的に比較できます。
#jtools::plot_summs(wb.poisson,
# scale = TRUE, exp = TRUE)
jtools::plot_summs(wb.poisson, wb.qpoisson, wb.negbin,
scale = TRUE, exp = TRUE)
Note: Pseudo-R2 for quasibinomial/quasipoisson families is calculated by refitting
the fitted and null models as binomial/poisson.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkAAAAJACAYAAABlmtk2AAAEGWlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPrtzZyMkzlNsNIV0qD8NJQ2TVjShtLp/3d02bpZJNtoi6GT27s6Yyc44M7v9oU9FUHwx6psUxL+3gCAo9Q/bPrQvlQol2tQgKD60+INQ6Ium65k7M5lpurHeZe58853vnnvuuWfvBei5qliWkRQBFpquLRcy4nOHj4g9K5CEh6AXBqFXUR0rXalMAjZPC3e1W99Dwntf2dXd/p+tt0YdFSBxH2Kz5qgLiI8B8KdVy3YBevqRHz/qWh72Yui3MUDEL3q44WPXw3M+fo1pZuQs4tOIBVVTaoiXEI/MxfhGDPsxsNZfoE1q66ro5aJim3XdoLFw72H+n23BaIXzbcOnz5mfPoTvYVz7KzUl5+FRxEuqkp9G/Ajia219thzg25abkRE/BpDc3pqvphHvRFys2weqvp+krbWKIX7nhDbzLOItiM8358pTwdirqpPFnMF2xLc1WvLyOwTAibpbmvHHcvttU57y5+XqNZrLe3lE/Pq8eUj2fXKfOe3pfOjzhJYtB/yll5SDFcSDiH+hRkH25+L+sdxKEAMZahrlSX8ukqMOWy/jXW2m6M9LDBc31B9LFuv6gVKg/0Szi3KAr1kGq1GMjU/aLbnq6/lRxc4XfJ98hTargX++DbMJBSiYMIe9Ck1YAxFkKEAG3xbYaKmDDgYyFK0UGYpfoWYXG+fAPPI6tJnNwb7ClP7IyF+D+bjOtCpkhz6CFrIa/I6sFtNl8auFXGMTP34sNwI/JhkgEtmDz14ySfaRcTIBInmKPE32kxyyE2Tv+thKbEVePDfW/byMM1Kmm0XdObS7oGD/MypMXFPXrCwOtoYjyyn7BV29/MZfsVzpLDdRtuIZnbpXzvlf+ev8MvYr/Gqk4H/kV/G3csdazLuyTMPsbFhzd1UabQbjFvDRmcWJxR3zcfHkVw9GfpbJmeev9F08WW8uDkaslwX6avlWGU6NRKz0g/SHtCy9J30o/ca9zX3Kfc19zn3BXQKRO8ud477hLnAfc1/G9mrzGlrfexZ5GLdn6ZZrrEohI2wVHhZywjbhUWEy8icMCGNCUdiBlq3r+xafL549HQ5jH+an+1y+LlYBifuxAvRN/lVVVOlwlCkdVm9NOL5BE4wkQ2SMlDZU97hX86EilU/lUmkQUztTE6mx1EEPh7OmdqBtAvv8HdWpbrJS6tJj3n0CWdM6busNzRV3S9KTYhqvNiqWmuroiKgYhshMjmhTh9ptWhsF7970j/SbMrsPE1suR5z7DMC+P/Hs+y7ijrQAlhyAgccjbhjPygfeBTjzhNqy28EdkUh8C+DU9+z2v/oyeH791OncxHOs5y2AtTc7nb/f73TWPkD/qwBnjX8BoJ98VQNcC+8AAEAASURBVHgB7J0HeBTF+8ffuyQkEEjovSSUAFJEQQSV2BDEguWvIqgoCig/UURRVCwoKoqNKlLsojRFihQBpQkK0jshkBBKIJCQkJB6d/9597KXvcvd5Wqye/d9nyfc7uzM7MxnDvhm5p13dCZhBAMBEAABEAABEACBICKgD6K+oqsgAAIgAAIgAAIgIBGAAMIXAQRAAARAAARAIOgIQAAF3ZCjwyAAAiAAAiAAAhBA+A6AAAiAAAiAAAgEHQEIoKAbcnQYBEAABEAABEAAAgjfARAAARAAARAAgaAjAAEUdEOODoMACIAACIAACEAA4TsAAiAAAiAAAiAQdAQggIJuyNFhEAABEAABEAABCCB8B0AABEAABEAABIKOAARQ0A05OgwCIAACIAACIAABhO8ACIAACIAACIBA0BGAAAq6IUeHQQAEQAAEQAAEQoEABEDAMQGj0UgGg0HKEBISQnp9YPzOEMj9OnXqFBUVFVHTpk2JxwwGAiAAAvYI6EzC7D1AGgiAAFF2djZlZGRIKKKjoykqKiogsOTk5FB6enpA9qt///6UmppKa9asCZjxCogvHToBAiojEBi/zqoMKpoDAiAAAiAAAiCgbgIQQOoeH7QOBEAABEAABEDADwQggPwAFVWCAAiAAAiAAAiomwAEkLrHB60DARAAARAAARDwAwEIID9ARZUgAAIgAAIgAALqJgABpO7xQetAAARAAARAAAT8QABxgPwAFVWCAAhUHIH4+HjKzMysuAbgzSAAApogAAGkiWFCI0EABFwl0K9fP1ezIh8IgEAQE8ASWBAPProOAiAAAiAAAsFKAAIoWEce/QYBEAABEACBICYAARTEg4+ugwAIgAAIgECwEoAACtaRR79BAARAAARAIIgJQAAF8eCj6yAAAiAAAiAQrAQggIJ15NFvEAABEAABEAhiAhBAQTz46DoIgAAIgAAIBCsBCKBgHXn0GwRAAARAAASCmAAEUBAPProOAiAAAiAAAsFKAAIoWEce/QaBACUwceJEeuuttwK0d+gWCICArwjgKAxfkUQ9IAACqiCQkJBAqampqmgLGgECIKBeApgBUu/YoGUgAAIgAAIgAAJ+IgAB5CewqBYEQAAEQAAEQEC9BCCA1Ds2aBkIgAAIgAAIgICfCEAA+QksqgUBEAABEAABEFAvAQgg9Y4NWgYCIAACIAACIOAnAhBAfgKLakEABEAABEAABNRLAAJIvWODloEACIAACIAACPiJAASQn8CiWhAAARAAARAAAfUSgABS79igZSAAAh4QiIyMpKioKA9KoggIgEAwEUAk6GAabfQVBIKAwIQJE4Kgl+giCICAtwQwA+QtQZQHARAAARAAARDQHAEIIM0NGRoMAiAAAiAAAiDgLQEIIG8JojwIgAAIgAAIgIDmCEAAaW7I0GAQAAEQAAEQAAFvCUAAeUsQ5UEABEAABEAABDRHAAJIc0OGBoMACIAACIAACHhLAALIW4IoDwIgAAIgAAIgoDkCEECaGzI0GARAAARAAARAwFsCEEDeEkR5EAABEAABEAABzRGAANLckKHBIAACzghs2LCBVq1a5SwLnoEACIAAQQDhSwACIBBQBObNm0czZ84MqD6hMyAAAr4nAAHke6aoEQRAAARAAARAQOUEIIBUPkBoHgiAAAiAAAiAgO8JQAD5nilqBAEQAAEQAAEQUDkBCCCVDxCaBwIgAAIgAAIg4HsCEEC+Z4oaQQAEQAAEQAAEVE4AAkjlA4TmgQAIgAAIgAAI+J4ABJDvmaJGEAABEAABEAABlROAAFL5AKF5IAACIAACIAACvicAAeR7pqgRBEAABEAABEBA5QRCVd4+NA8EQMDPBAqNRMlZJsrKJwoRvxLVrUJUu7LOz2/1X/UjRoyggoIC/70ANYMACAQEAQiggBhGdAIE3Cew9UIE/ZVamQ5mhVOh0WBVAYugHo109FBrPTWoqi0xFBcXZ9UX3IAACICAPQIQQPaoIA0EApjA0QwTffhvGB25WMNhL89dJvolwURLEg30f3E6GtJBT2Eh2hJCDjuHByAAAiAgCMAHCF8DEAgiAutTjDRsjUGIH9f+6vPy2NxDJnrhLwNdzDMFESl0FQRAINAJuPavYKBTQP9AIAgIbE810tjNRsq3Xu2iqmFE8Y119ICY6bmruY7a1SKynevZe55o9AaDKAsRFARfFXQRBIKCAJbAgmKY0clgJ3Ah10Rv/m0kpX5h4fP0lXq6U4ieUL215DmdbaIZu430V0qJ4DmYTjRlh5FGXRMS7DjRfxAAgQAggBmgABhEdAEEyiLwzT4jZReW5KpTmWhGrxC6p6W+lPjhXA2F4/M714fQ0x2t/4lYmmiiYxdLRFFJjbgCARAAAW0RsP7XTVttR2tBAARcIHBezP78fqxEtPBkzwc9QqhJNetZH3tVPXKFnvrEluTjWr4/IByDYCAAAiCgcQIQQBofQDQfBMoisF4sYymXvljQtK5ZImrKKj9MLJOFK1a9Np0yUYGywrIqwHMQAAEQUCEB+ACpcFDQJBAoi8DGk0aasM21mZjLiqUvrrd3jHu/91SP0NG1DXS04aR5FqlAOFHf85tBLJ2V1Urr59N7hlBjF2adrEvhDgRAAAT8QwACyD9cUSsI+JUAi5BMEbnZE2tT0/1SPGMkCyAunWMjqlypsbwmjbKzs8loNFJ0dLQrzUIeEACBICUAARSkA49uBycBjmUYEer68pdMiXeMacVGjx5NqamptGbNGq00Ge0EARCoAAJuTmJXQAvxShAAAZ8R4FmYzPwSh2hXK05HEERXUSEfCICARghgBkgjA4VmgoCSAJ/P1SvGtZmcA+dNdDK7pPTOcya6qYlrZeVSO85ai6brGhJVreReHZEamkWS+41PEACBwCUAARS4Y4ueBTCBK2rp6Ipaiq1ZTvr65wlzBGg5yy9HjEIAuT75e0ScHcaRoGWrFUE0Xmyj1+ncE0ByeXyCAAiAgBoIuP6voBpaizaAAAi4TeC6hjqKqlRSbHca0dJE13aQ8dEXn2yzPjvjdrGNHuKnhCeuQAAEtEkAAkib44ZWg4DLBNjpeWA767/qn2830qrjzkVQTqGJxmw00iFxBIZs7Azdv411XfIzfIIACICAlgjgXzItjRbaCgIeErivpY7iapQULhLa5/1/jfT6RgPtSTOR0VTi45MlnKQXHzXSwOUG2ppaks6lh3XSU1Q4lr5KSOIKBEBAqwTgA6TVkUO7QcANAmFi/zsff/H0Hwa6kFdSkKM6bzploMriX4La4nwwPin+fC4JQVSSR766v5WO7m6B35lkHvgEARDQNgH8a6bt8UPrQcBlAnWr6Gj6bSHU3E58wNwiopRLROcu2xc/j7fT0Yir8c+Fy7CREQRAQPUE8C+a6ocIDQQB3xGoH2kWQQPiiihc79wHiN/aqjrR5zfp6akO2PXlu1FATSAAAmoggCUwNYwC2gAC5UigsnCKfqy1gXpUv0Cb0yLoYHZVSskJoawCks73qluFqK04+uJGESuoa33t7fiKj4+nzMzMciSKV4EACGiRgM4kTIsNR5tBoDwI8LlSGRkZ0qv4bKmoqKjyeK3f35GTk0Pp6ebtXeiX33HjBSAAAiokgCUwFQ4KmgQCIAACIAACIOBfAhBA/uWL2kEABEAABEAABFRIAD5AKhwUZZMKCgop7YJ5qaJendoUGura8QfKOnANAiajgUz//ESUdlyCEVpYQNVyxX53YWHhEWQMD5eunf4RGka6jneQrsmVTrPhIQiAAAhogQAEkMpH6WDCMXp48EtSK9f8+hU1alBP5S1G89RIwLTwNTKtmWJpGv/Fr2a5I3LVEdC0bDzpx24nXb1WitK4BAEQAAHtEcASmPbGDC0GAbcJmA7+5XYZuwUMhWRK2Gz3ERJBAARAQEsEIIC0NFpoKwh4SsAoIh36ynxZl6/ahHpAAARAwE0CWAJzExiyg4DmCYRFkP7ZhS53w7R/NZlWT3I5PzKCAAiAgBYIQAB5MUrn0zPo0JFjFFmlCsW1aEaRkSKCnIvmTVkXX4FsIGCfgD6UdFfcav+ZnVRTxik7qUgCARAAAW0TCFgBdOrMOer76LPS6Lz6/GB68J7eViO1YPEq+nDybClt5NMD6dGH7rZ6fuBwIj32v1eJz71eMmcaNaxf1/J82R/r6eOpX9O5tAuWNL64uuMV9M6rw6llbFOrdOWNN2WV9eAaBEAABEAABEDAcwIBK4AaNahLdWvVoKSU0/TPf7tLCSBOu3zZvA1487ZdpQTQFpHGz2ObNbaIH6PRSO9M+ILmL14pEY8QW4fbtm5Oaecz6OTpVNqx5wDdP/B5eve15+jeO6x/w/amrOfDi5JqIWC6eIbosjmidIW0qSjfd68VfTGdPuC7+nxYk078nZ38yRS6kJVDE7/8yoc1oyoQAIFAIxCwAogHKv66ayhp3mLatmtfqXHbtnOvJe0/8ZwFil5f4hO+RQgkthu7d7HkW7LyL4v4efrxh2j44EcscXnOnjtPz77yHu0/fJTGfTKdru3ckRrUq+OTspZKcKFZAqYl48i06RvNtl/ZcNOy94l/1GgczSh5bQGdLIpUY/PQJhAAARURKPkfX0WN8lVT4q8zi5e08+mULGaCZDt+4pQILpghZnbqEM/iXMrOoYPCl0e2gsJC2r5rv3Qr15GfX0CTZvwgpfHszgvPDLSIH06sV7c2zZr4DtWpXZMu5+bRR5NLfvv0pqz0QvwBAiAAAiAAAiDgUwIBLYCu6dSeKkeYI9zyLI9s8uxP92s6UedO7aTkrYoZoT37D1Nefj5VqVLZ8nz95m2UKmZ52J7of6/0aftHjerR1E3M/LD9WzyDxNfelOXyMBAAARAAARAAAd8SCGgBVKlSGHXr0kki9l/xjA7fbN1hXv669uqOdJ0QQco0vmb/IDZ+ViksTLrmWSO2+mKmp3XLWOna3h/t2rSUki9mXaKMzCzp2puy9t6BNBAAARAAARAAAe8IBLQPEKO5USyD/bXpX4vo4bRtO82zQeyncz79IidJS16yH9CWbWYBFK/w/zlxUjixCmsgls2cWdu4FpbHXKZGdBR5U9ZSGS40TUB33aNEza+tsD6YFr9DlGn+DnvdiG6PkC6uh9fV+KOCgoJ8Kjw4nQwXc/xRPeoEARAIIAIBL4B6dO8sDdfp1HN05mwa8eGivH09pmkjqlunluSzUz2qGvGMDfsB8a4vXgJjY/EkW8ZF82xOVRHzx5mxiJKtanFcIG/KynXhU9sEdC2vI/6pKDOsnugzAaRr2Z30NzxeUV1x+l5DTg4ZaiwjU36q03x4CAIgAAIBvQTGw8vxe+S4PDzzo5z94ec6nY6u7WI+3Zr9gNhXqMhgoDatYiWBxHnYGjc0H0Kammb2AzKnlv7zrCI2UOPig0u9KVv6DUgBARAAARAAARDwlkDAzwAxIN7JdfT4CfpPCKD8ggKJGfv/yNZdCKBVf26Slsl4xxgbb6FXWrMmDaXblJOplJNz2WHUZ9l/qJ6YXQoPrySV8aassg24BgHfEDCRKdc8o+lSfQXmeFku5UUmEAABENAIgaAQQLyU9fWcX8Xsz16xu8ssgLpe3cEyRN2KZ4B46/tpEUGa7SYbAcQ7yth4d9ivv6+hxx7qK90r/2BhtHqd+aTs++7saXnkTVlLJbgAAV8RyM8h4wjzjKavqkQ9IAACIKA1AgG/BMYDcpU4oiJSbGnnqNC8lZ2XxGrVrG4ZK56h4aCFHA/oSGISRUdVpY7t4izP+SKuZQzd0+cWKY3jAf29dafVc/Ytenb0e5QjItHy9vnHH77X8tybspZKcAECXhHgQ118ZGLZWM0WGRlJUVFRam4i2gYCIKACAkExAxQWGiptaV+9fouEnHd/2RrHBPp12Wop+YZrr6aQkBDbLFLww3+375FE1NMvvk1XtmtDbeOaS07VO/celHaU8bvefOkZqh5dzao8B070tKxVRbgBAQ8I6Bq3J9OZgx6ULF1E18gcO6v0E3WkTJgwQR0NQStAAARUTSAoBBCPAPv0yAKoqz0BJJbBZAFk6/8jjyDHAFr0/RQa8/5E+nPjv9LZX3z+l2zs9zNp/OtCGLWWkyyf3pS1VIILEPCQgO7hT4mqVCdTmjniuUE4+heKiOdsoUK080+ZFhpOuqvuIV0Fbucvs43IAAIgAAIuEtCZhLmYF9kUBPi0+YNHEqUjNniXV2uxa6xpowZW54kpsltdelPWqiLc+J1AdnY2ZWSYDzGNjo4OmKWVHLFdPD3d7PCPfvn9a4QXgAAIqJCAC7/2qbDVKmgSnzbPP56YN2U9eR/KgIC7BBLzL9ArJ5dRauElGlkvnh6oUXrZ2N06kR8EQAAE1EQAAkhNo4G2gIAKCBzNO08Djs+hC4bLUmtGn/qdco2F9Fgtc1BRFTQRTQABEAABrwkExS4wrymhAhAIEgK24kfu9tgzf9APF7bLt/gEARAAAc0TgADS/BCiAyDgGwKOxI9cO0SQTAKfIAACgUAAAigQRhF9AAEvCdgTP2E6PTUJK4mXxa+ACPISNIqDAAiohgAEkGqGAg0BgYohcKww3crnh1vB4ueLJvfTwhYDqUV4LauGQQRZ4cANCICARglAAGl04NBsEPAFgWRDJg05+5vF4ZnrlMXPLVGtqHZoJP0U+whEkC9gow4QAAFVEYAAUtVwoDEgUH4EWPy8kLOa0o0lh50qxY/cEq2JoA0bNtCqVavk5uMTBEAABOwSgACyiwWJIBDYBI4VpEviJ8OUZ+moPfEjP9SSCJo3bx7NnDlTbjo+QQAEQMAuAQggu1iQCAKBS4Adnp888wu5Kn5kEloSQXKb8QkCIAACjgggEKIjMkgHAT8TyDcW0fyM3X5+i3X1aYXZ9G36f5RjLLA8cDbzY8lUfCGLIA6UyNGiZWPH6K05J6hrZFM5qUI+8wvy6aQhizLFst68S3spojCC+kS3kXyZKqRBeCkIgIBqCUAAqXZo0LBAJ5BnKpS2lVdkP90RP3I7HYmg5VmHiH8q2s4a0slgvEQfZmyQmtK+cn0IoIoeFLwfBFRIAEtgKhwUNAkEyovANLHVnXd7uWuyCGpWqYa7RZEfBEAABFRBAAJIFcOARoBAxRDYkpPs8YsThC/RWXFYKgwEQAAEtEgAAkiLo4Y2g4CPCHxzYRu9d2aN27VtyU6mwcnzKc9U5HZZFAABEAABNRCAD5AaRgFtCEoC1fQRtC5uWLn2PU+c6v7aqRW0M/eU5b0sgtjeaNDTkubswp74qaoPp88a301xEXWcFfX7s8uXL9PwsI2UFnKWfm74GFWtWpXqhlb1+3vxAhAAAe0RgADS3pihxQFCQK/TUZNK1mdtlUfXfojtT08em0tb805aXueqCLInfqKEkOM62dm4oi2nMIwq60Kpki6EGoVGUVSlqIpuEt4PAiCgUgJYAlPpwKBZIOAvApX1YTSl3t10VUg9q1eUtRymdvFj1RncgAAIgEAZBDADVAYgPAaBQCTAImh85M30Ws5ftNNw1tJFRzNBWhI/I0aMoIKCkjhHls7hAgRAAAQUBDADpICBSxAIJgIRYqmIRdA14Y2sum07E6Ql8cMdiYuLo/bt21v1CTcgAAIgYEsAM0C2RHAPAkFEgEXQpDp30ksZq0i5JV6eCbqlWksakrzAareXmnx+gmio0FUQAAEfE8AMkI+BojoQ0BoBXg6b1exB6h7ZzKrpLIIeT5oL8WNFBTcgAAKBQgACKFBGEv0AAS8IOBJBRjJZasXMjwUFLkAABAKAAARQAAwiugACviDgSARx3RA/viCMOkAABNREAAJITaOBtoBABROwJ4Igfip4UPB6EAABvxCAE7RfsKJSENAuARZBs4VP0Kzz/1KqOOvrqdpdqXl4Le12CC0HARAAATsEIIDsQEESCAQ7gQghgp6re0OwY0D/QQAEApgAlsACeHDRNRAAARAAARAAAfsEIIDsc0EqCICARglkZ2dTVlaWRluPZoMACJQXASyBlRdpvAcEQKBcCIwePZpSU1NpzZo15fI+vAQEQECbBDADpM1xQ6tBAARAAARAAAS8IAAB5AU8FAUBEAABEAABENAmAQggbY4bWg0CIAACIAACIOAFAQggL+ChKAiAAAiAAAiAgDYJQABpc9zQahAAARAAARAAAS8IQAB5AQ9FQQAEQAAEQAAEtEkAAkib44ZWgwAIgAAIgAAIeEEAAsgLeCgKAiAAAiAAAiCgTQIQQNocN7QaBEAABEAABEDACwKIBO0FPBQFARBQH4H4+HjKzMxUX8PQIhAAAVURgABS1XCgMSAAAt4S6Nevn7dVoHw5EEi7kEEGg6HUm6pUjqCoalVLpcsJF9IvUmFRkXxr+SyrnCWjny4u5+ZRXl6+pfbwSmEUGVnFcu/tRXbOZeIf2Sq6v3I7tPwJAaTl0UPbQQAEQECjBJ549jU6lnyyVOuvv/Zqmj3x3VLpckLfR5+l9IzSM3yPPHgXvfHiM3K2cv+c8e08mvn9Ast7/+/u2+i910dY7r29+HrOrzT9m7mWaiq6v5aGaPgCPkAaHjw0HQRAAAQCjcCuvQfJaDTa7VZyymm74sduZiSCQBkEIIDKAITHIAACIAAC5Ucg53IuJRxLtvvCHXsO2E1HIgh4QgACyBNqKAMCIAACIOBTApFVKlvq277bvtDZtfeQJY8yvyURFyDgBgEIIDdgISsIgAAIgIB/CHS4Is5SsaOZHmV6x3atLfnduTCZTJSZle1OEeQNUAJwgg7QgUW3QAAEQEBLBFjQ/PPfbqnJO+0sdbFoOXr8hPS8kthh1bpFDG3ZtsulLu49cIQWLvmDjiQm0RGxvHZZLLNVj6pGrUQdrVvG0MB+91CTRvWd1sXC6Zelq2nrjj2092AC8VLdNZ3aU4/uneneO251Wlb5kOtZ9Psa2rx1Jx1KOE4nTp6hpo0bEAtA/ul98/VUq2Z1ZRFc+4kABJCfwKJaEAABEAAB1wm0b9OS9Hq95AB9OjWNzp47T/Xq1rZUsGvfQct1+zatKCQ0xHLv7OK7ub/RJ1O/oSKbLfcXsy7Rtp17pZ/flq+l98eMoF5CfNgz3n7+ythP6a9N/1o9Xr5mA/HPvkMJVCUiwuqZvZtU0afX35tYSrglJqUQ/3A7psz8kd4Tbbk1vpu9KpDmQwJYAvMhTFQFAiAAAiDgGYEqwgcorkUzS+Ede0oEDyfuVNxf1bGtJZ+zi7c/nEofTppdSvzYlmGBM+L18fTNz4tsH0mxigb+79VS4keZcc6CZTTvt5XKpFLXWZey6f+eGFFK/NhmZGE2csyHQpjts32Eex8TgADyMVBUBwIgAAIg4BmBTu1LhM32PfutKlEKok7t21g9s3ezTyxTzV9sLUp4mWvo4w/RuNeep8cfvqdUwMWps+YQB2hU2u+rN9DBI8eUSVStaiTFd+9C3bpcSTqdTnrGAkdpYqXLyqaIupXxi8LDK9ETD98rYgU9T0+LNkVHlQR/5ECP7378hVV53PieAJbAfM8UNYIACFQggYkTJ1J6ejpNmjSpAluBV3tCgGd25i5aLhVVzvgUFRmI/Xhku6pDW9q175B8a/dzwpSvrdJZNM34bKyV6Bnwf3fRY2J251zaBSkvR3OeOnsOvTN6uHTPkaqnffWTVT2txCzV15Pfo9o1a0jpXHbU2x87nbE5Jpa3fv71d6t6pn44hm7o1tmSdu+dt1Kfh5623LO/0/5DR6mdWBqE+YcAZoD8wxW1ggAIVBCBhIQE2r/fevaggpqC17pJQDmzww7C7GjMdvBIIuXlm4+Z4FmcspyET505K/n2KF//ynNPWYkffsbOx0Mee0CZjRav+NMSiFF2UlZm4NkjWfxwet06teiDN16gyhHhymxW11uEc7fBUBLcMbZZYyvxw5ljmjSi67teZVWOfYJg/iOAGSD/sUXNIAACIAACbhBgQVKzRrS0VMTRoPfsP0zdr+lEO0V0aNmUIklOs/08lnTSKqmeECmO/Ibu6BlP7382w5I/P7+ATqeeo8YN6xMLKaXFNG1EV9rZfs95u3Xp5NBPiHd6KY3Fjj1xw2JKaRu3bFfe4trHBCCAfAwU1YEACIAACHhOgAXOnxvNu63Y74cFkNL/x5GQUb6Rd1QprWGDuspbq2sWXOyPw8JHNj6jjEXNydPWAqiZEGiOrFmTho4eUXLKKatnvJvMdkeZVYbimwsZF+0lI81HBLAE5iOQqAYEQAAEQMB7Ap2Ef49sO3ablzKVARDZ/6csy87JscpS1hb1yjZb2LMumcvztnWlVRXOz46MZ5kcWfrFLEePnKaz7xPMfwQwA+Q/tqgZBEAABEDATQLKJa5dYgmMl4/SzqdLtfBW+VbNS7bKO6q6WWPr2RhbIaMsxzM/FzOtBUqsWOpiq1u7pjKrpR1WicU3aRfMbbT3rKnwW1I6cT/2UF/q0qmdvaxWaRwXCeY/AhBA/mOLmkEABEAABNwk0KGtCHIYopechjlis7wrjKvpKCIlh4SUHQCxeUwTq7emnE6Vjr9QbjWXMxw4nChfWj5jipez2OdHaUcSk6mgsJAqhYUpk6VrpcCxfRjTtLFVEjtMOwq6aJURN34lAHnpV7yoHARAAARAwB0CEUIctGnV3FJkviLAoCvLX1yweUxjKVaPXElBQSH9MH+JfGv1OfvHhVb3PMMUGVlFSmthI6R4pmjZqnVW+flmt5ipcha4MLaZtZBau+Efyssz72pTVsZ1c/wf+WfB4lXKx7j2MQEIIB8DRXUgAAIgAALeEejUoSTQobwVnmtUpjt7A/v0DB34oFWWL77+mWZ+v4DkgIXnxLLamPcnWRyu5cwvPPOYfEm8Xb2HIlYPPxg7YZo4E+wPsWx2iXJEBOk167fQ0y++bSlj7+KGaztTnVrmuEH8nJ20OXaQfLYZt2neohXSMRk//7pcxAwy//BsE8x/BLAE5j+2qBkEQAAEQMADAhwRmo+XsDWlf5DtM9t79rP56Zff6czZNOkRH0L6+fTvpJ+oalUtQkhZjv1ybulhfQbXy889SX+Lg0t5Wz5bYWERvfHBZOmHo0BzvWzyOWbSjc0fvPT2rogfNGzUO5YnPAvEP+w8zRGiOfqz0lq3jKUH+/ZWJuHaxwQwA+RjoKgOBECgYglERkZSVFRUxTYCb/eKgL2lLl6OYuHiqvHW9i8+flMEGLR2iOby8iyQsi7eXv/xOy8rk6RrXhJ7dcRgSeDYPpTFT8P6den5oY9aPS4+IcOSdtP119BTj/6f5V6+OCsiSduKn3atW9IUESmaT72H+Y8ABJD/2KJmEACBCiAwYcIE+uabbyrgzXilrwg0EnF7lEtGXK8r8X9s38++RAu/nUT39LnF9pHlnh2u+Syu76d9SPUVp89bMogLnk2aPfFdqlG9tLBmR+nvvxhPjYQIKstGPTuI5s7+lNoLR297xrNIHJn659mfEEe8hvmXgE4oWPP8nX/fg9pBQJMEsrOzKSPDfDhidHR0wMws5Ig4KXxeFhv6pcmvJhrtJgE+5ytRnK91JDFJLIudJw5qGNcyRvLzsbery171fDZYwrFkEaH6iHCUrkw8U8WzP+4a/7ebcipV+AAlE0et5qM94lrEUMvYplJQRnfrQ37PCEAAecYNpYKEAASQtgY6UIWdtkYBrQUBbRDAEpg2xgmtBAEQAAEQAAEQ8CEBCCAfwkRVIAACIAACIAAC2iAAAaSNcUIrQQAEQAAEQAAEfEgAAsiHMFEVCIAACIAACICANghAAGljnNBKEAABEAABEAABHxKAAPIhTFQFAiAAAiAAAiCgDQIQQNoYJ7QSBEAABEAABEDAhwQggHwIE1WBAAhUPIENGzbQqlU4RbviRwItAAF1E4AAUvf4oHUgAAJuEpg3bx7NnDnTzVLIDgIgEGwEIICCbcTRXxAAARAAARAAAYIAwpcABEAABEAABEAg6AhAAAXdkKPDIAACIAACIAACEED4DoAACIAACIAACAQdAQigoBtydBgEQAAEQAAEQAACCN8BEAABEAABEACBoCMAARR0Q44OgwAIgAAIgAAIQADhOwACIAACIAACIBB0BCCAgm7I0WEQAAEQAAEQAIFQIAABEACBQCIwYsQIKigoCKQuoS8gAAJ+IAAB5AeoqBIEQKDiCMTFxVXcy/FmEAABzRDAEphmhgoNBQEQAAEQAAEQ8BUBCCBfkUQ9IAACIAACIAACmiEAAaSZoUJDQQAEQAAEQAAEfEUAAshXJFEPCIAACIAACICAZghAAGlmqNBQEAABEAABEAABXxGAAPIVSdQDAiAAAiAAAiCgGQIQQJoZKjQUBEAABEAABEDAVwQggHxFEvWAAAiAAAiAAAhohgAEkGaGCg0FARBwhUB2djZlZWW5khV5QAAEgpgAIkEH8eCj6yAQiARGjx5NqamptGbNmkDsHvoEAiDgIwKYAfIRSFQDAiAAAiAAAiCgHQIQQNoZK7QUBEAABEAABEDARwQggHwEEtWAAAiAAAiAAAhohwB8gLQzVmhpEBI4lG6if8+Y6NhFE2XmE4WIX1nqVCZqU0tH1zfUUZ0quiCkgi6DAAiAgPcEIIC8Z4gaQMDnBLanGmn6biMdybBf9fLjJvpcPOrZTEdDOuqpfiSEkH1SSAUBEAAB+wQggOxzQSoIVAiBIqOJPvvPSMuOmcp8P+dYnWyi9ScN9GpXvRBDWNEuExoygAAIgEAxAQggfBVAQCUEWPyMWm+kHWfLFj/KJhcYiN7dYqTzuUQPt4EIUrLBNQiAAAg4IgAB5IgM0kGgnAnwzI+t+Kkt/H3+r5Weugl/n3pViAqNREmZJvozxUS/i1miInEv2/RdRmpSjej6RhBBMhN8ggAIgIAjAhBAjsggHQTKkcB/wufHdtmrT6yOXuysp/BQa/+eGhE6uqoeUb/WJhqzyUDHM80N5XmjCVuN9PNdOqoSZl2mHLuCV4EACICAJgjgV0VNDBMaGegEvhQOz0pj8fPatSGlxI8yT+NqOppySwg1rFqSmiF2is0/7N4SWknpwLiKj4+n3r17B0Zn0AsQAAG/EcAMkN/QomIQcI3AwQsmq91evOzFMz+uWFS4EEpdQ+i5P4UjULEtSTTS4+10pNMF5yxQv379ZBT49JAAL7MmitALF/KI2MesShhRw0iitiL8QrT4zsFAIBAIQAAFwiiiD6ojsCjBSMKn2SXjOD9KeyCu9LKX8rnt9ZV1ddS+NtG+8+Yn7Aw9c4+Rald2/B9VfoGeLucIpyJhlTNCKSLCPAN1dT0dxUY7Lmd+A/4MRALnLpvolyNG+iPJLHwc9bFdLaK7Wuipd4yOQvX4rjjihHT1E4AAUv8YoYUaJDB1p1FyWPak6d0auP+fyrUN9EIAlSyjzTnIospaWFm3RfxKT9GKJHPZl6/RQwApqATDJe8+/HqfkeYesnaqd9T3/ReI9l8w0vf7iV7qoqeu4rsHAwEtEsA3V4ujhjYHNIH6YqnBXatvnsxxtxjyBzmBi3kmeuEvA/14wDXxo8R1JofoZRG24YcDJcJb+RzXIKB2ApgBUvsIoX1BR6BA/H/irp7hMjAQcIdAuhA/w1YbiIWMrbWtSXStmInkCOORYrIwQ/gCsU/Q36dNUrwpOT/PMc4Sy63nxfLZyC4hcjI+QUATBCCANDFMaGQwEUgS29o71XWvx+y0CgMBVwkUGkz0hgihYCt+ugvRM6yTnmIc+IG9aDJJ0cfZx+zc5ZK3LTpqoqZRRvo/4b+mVdu59yC9+cFkS/NnTXyXGtSrY7m3d/HjgqU099fl0qMG9evQrM/ftZfNZ2m9HhhMBQWFtHbR1xQS4rng7D9kFF3KzqHZk8ZR/brCgdBNO3k6lfYeSKDOV15BdesIpzCNGgSQRgcOzVY3gTl3hpD4v8IlW5VkFD4YJZn/OmEUAsj1f9wMwodj46mS8vzS6bfqqaYTJ+jc3Mt08aI5gFC1atWoalXzXvrocJeajEwaJzBDCBjZaZ67wr7M/xPC56HWzgUM7yzsJZyf2U/trc3WgTvZ761DHR3F1XDfh00NOC/n5lFiUoqlKSvXbqRBA+633Nu7WLB4laVMvhAm/razaRckAeTte44ln6SsS9lUVFTkUVXTv5lHvy5bTdMmvEG3aFgAOf+2e4QGhUAABHjpoEFV1376xOpJ+V8GB0Q8nW0taJwRXZJoolTFMkbrGkTt6uidvp+jSteJMEg/9aqYLHkRQNEZ6cB4lnKJd3tZf7+eu6ps8aPsPYdfmBCvJ94RJpuYVKIpO0rCMcjpWv1csXaT06YfE2LpSGKS0zyB+PDw0eO0Ys2GgOgaBFBADCM6oWUC9YRYulWc6i4bH3fx+kYDXSqw/k9Kfq783JtmomniN2+l9W+Lv9ZKHri2JjDvkJFYrMh2Y2OdR0tXlUJ0NO6GEKqsWEfYnUZ0QMS10rI1blifatesLpZ4jhAv9TgyWSB16tDGUZaAST9wOJF4tuv19ybSgKdfodw8EXE1AEzx1Q2A3qALIKBRAoM76GlDioFkZ+ZjYnXq6T8MUjRoXlawNV724pkfFj9yGc7Dzqs3Nymd37Y87oOTAG95X3uiRKAIDUPPXOm5YOZYU/3FAby8jV62lceNdEUt15dw5XJq+TSJtevet95AcxYsIxY5Qx57wG7TeImM7fZbbqBdew/ZzcOJ58Sy1bZd++jgkWNiqVEsEbaMpeu7dqIa1ZVhKKyLX8y8RHsOHKYTKWeoQ7s4ate6JYWGOmfKvkH7Dx2l/YePUmFhofDPaUdXuFDO+s3278ZPnEn/7dpv/6GGUyGANDx4aHrgEGgolste6aqn9/4p+Y/kZDbRs2sN1EH4KHYTsVbqie3xHJU3KUv4/Jw0lXJgja5ENPa6kKCNAC1/GyZOnEjp6ek0adIkOQmfxQQOihg+OQpXlc4i8GUjcaSKN3ZXC50QQCU1/JdaIrBKUrVzZTAY6I5b480CSCz12BNACceS6ejxE9Qytim1iGnisHNLV/5FYydMI/YvUlr16CgaM3Io3dX7JmWydD3/t5X0zsdfkNFY8m9BVLWqNPWjN0rllRO4PSPHfGjxR5LTa1SPosnjX6cundrLSR59Dhn4IN13Z09L2Y8mfyX5EFkSNHoBAaTRgUOzA49Arxi9tMXY9lywvSLC815FkEN7PWfx82F8iOTLY+95MKUlJCRQaqrjpYtAZDFui4H2iOXQsuyyQvxw3m4NvRM/XAfPArWqTpRwke+IWLg/sLhICHHzvbM/n79aTz0aez4D5axuT58ZhPC4qmNbaXcUz9okpZyimCaNrKqzzP7c2oOKDCVCRZlp/uKV9PaHUylU7NYaNuhhuuaq9pIQ2rJtF81ZuIxeHvuJiMAeTj1v7G4p9uP8pfT+5zOk+76330xdr+5APBu0cMkqGjrybTGzU9ppmds4YOjLlJefT71uvp5uu+k6STz9u32P5Kj85HNv0CfjXqFeIt1Ti+/exaropJk/QgBZEcENCICA1wQGCP+dJtWIPt5mpIsuLrPzstfbYuaHZ5FgwUmA4/ScVWxLd5UCn+/lC+PvXoKIEyTbOXEciyuWV/r/c1eK+TWPUQga3u12uxA33/68SDj8bpQEjPKlsv/PHT17UNKJU8pH0nVOzmWaNOMH6frT90ZbiY9b47sR+xl9NHk2jfv0S+re5UqKjKxCOZdzacrsOVKZ98eMoPvvus1Sb7/7+tCjz4wmdkBmU+4w5eUpFj/PPtWfhg9+xFKGBVSr5s2k93w+/TurNlgyBfmFuqR3kA8Gug8CTIB/I557Vwg9IQ40rRXhmEmc2O019jo9fXkbxI9jSnjijEC1Sr4RzVXFDGSgGYsbNhZASjtyNImOi23kcS1iKLZZY+Ujy/Wi39dSekam5Ltjb+ZlYL++FBEeLvkH/bfb7Fvzy9I/pFmV9m1bWYkfrrSqEEgjhj5qqV++2LpjL23buY/qia3oTz9R+hDgRx+8m6pUqSyJtF37HPspyfUF2yeWwIJtxNFfTRDg7ehPdgihQe35VG6iYyLQIc8IsdNqHbGFvU1NHdWt4pv/vDQBBI30C4GMfJ618f57dNHaxcUvbS3vSjtcESfN1Cj9fbgNy4u3gMsCyV67jiadkJJ73lSyvKXMp9frqU1crOQ8fTz5FN143TW072CClIWv7VnXzh1LJR9KOCaltWrRjM5fyCj1nBPat2lJLJR4V1un9oG/Y80uBAeJEEAOwCAZBNRAgKfiW4qZnpYaDS6nBobB0IaOYqcgH1lRlp3JMdERxf+THHU83v4kRllVWT1nx3yl9RAuM7zjqSzjEBBqtj5iN9isHxZKcW+eG2KegVlZHB+Il8gcWXLKaemRs0jScc1jJAF08ozZXy3llPmzoYgobc8ixUwOO0NzAEPZ5OW3Tf/soFvuHSQn2/3MzLpkNz2YEyGAgnn00XcQAIGAIPBEe9e8Gfg8r0ErxVbCYvv7lJEGtnOtrFzG9pOPYTlV8n+yiARN9H6PwPivpU/PeEkALRfLYCyA2OE4+eRpsb28BTVr0tAWheU+v6BAuna2dV2OMVQj2rwdvkBsXWfjX3ocGW91V5ocfbpNq1iKdzBzJOfv1KGtfInPYgKB8S3FcIJAgBAwGYo874lORJQWU+swEHBEoLn4v7auWEKVz/E6mC52GIrdY/ZiTTmqwzZ9wRHrXVB8TEagWNu45hTTtJHkQ8PLTfLurz5OZn+4780aN6Sdew7S6VQRGdKOcayhPWJJiq1po/rSJ5fhgIOOyvBuMHZ2Vhq3jY13ro18ZqDyEa5dIAAB5AIkR1nyRDTMCxnmvZ98oJw3h9M5eoc76ZlZ2ZSdk2MpUqd2TaoU5sK8uChx5myaJe5EWGiopg+4swDQ0IUpZTcZvxxAlGZe0/eo6UIAUbuepH9mLukqVfaoChQKbAI8u9AnVkff7S9Zspq600DTeoZQKB8I5qYdTjfR7+LoFtm4htvF0S6BZOzr88XXcyVn6BVy8EOxNObMZOfoPzf8YzeOEMcQyhY7xdjaC18jthYiphDb6nWbpR1d0o3iD063tZbFMYgSEpOFcDpHDevXtcpSVGSgJ59/g9LOX6BJH7wugjDGWD0P9pvA+qaW82j+J6J79rz/KenngvD4r2ibLdaq5fbw5+Llf7rUpDThPHfrfU9ayv7v5XEulUMm3xEwLnnPO/HDTTEZifb9QaZtC3zXMNQUcAT4xPYqil99eRbo8+3iu+OmXcg10RhxorwILm0xPtKlsZeBFS2VqeSCl8HYOHYP++nIztHOmvdg317Szi3eebVs1TqrrBzgcLoQVGy9RRTp2OJZnIfFVnfescVb3TmGkNI4mvSM7+Yrk6TrHiI+DztAs80TARRt7asfF4pdYnulbfNyPts8wXyv+GtQfhg4ENR7Iv4B2/yvPyd27oL5ngD/tvLgPb3LrHjVn5vEXxDFv2JllkAGnxPIFtEOfWWX7E+7+6p6tdcTGRlJUVFRam9mhbWvujjI9Glx/IVS9CwVx6rkidkCjkYezlsNyzD2JXpNnFcnL6Vx9qpisnmYF8dqlPHKCnvM0Z45ng7vBmNjx+iyjI+5eG7IIzR+4iwp4OHGf7bTVcIH55KY9dm4ZbskSjgaNOeRrZY4f2z44AE0QURZ5gCK/P8k79pKv5glfpldK4mjOrVqEP/CKhv7GL01ahgNGj6GZgqBxIezdhO7xYzi3/PNW3cSO0dzIMaPxr7k1LdIri/YPitEAHFY8GMijgKblv/jbSSCWclh0iMrR6juu8ORQDkWRc0aZic7Rw2UdzU4eo70CiDQ8jrXX5otzjdIPex6/gDPOWHChADvoffdu6+VXjq0dFVSyS8+q5NNIuK4gZ4SDtU3NdXZFUJpl000VxymuuioiYoUk0a8evbO9XoRoqFs8eR968u/hj5iGSxhplkAOdv9pWzZwH73EIsaFjNLxJEY/CMbx/qZ9MFrpZasBvW/j6oJAf/uJ18If6NN0g+XYV+k2RPH0aPDRksCSOknzcdczJ39KY16+2Nat2mr9CO/p0e3zjRy2ONSeTkNnyUEdEKAlPwNKEn369VasS46fPR70ju2rZkvTRX69YVBUvmn076l2WLKk/2R+Dwb/k3hrZeHUf/773RI4Oy583TTPU9Iz/kvJcei4IP3Fn470WGZYHqQnZ1NGRnm37iixW4Nf80sGD66mSjxHwta/Zc5Ljs0m3YuJuP0hy1ldfe/R/rbX7Lc27vIEb5ifF4Wmz/7Ze/d/kwL1H75g1mBwUSjNxhp+9nS/wXwCe+d6uqovnCY5u316Xni6ylmfQ6XTD5YmsTi56Uuerq7BTwqLFAUF7l5eXQo4TgdPXaCaosZHN6x5Wx7PBe9lJ1Du8XyWYaY/enYrrXTHWfyq/jf/MTjKXTgSCKFiM0Q7FPEu9VgjglUyAyQ4+bYf8JfBo6r0CK2CVWOcH+mhcOSHxfhytljniNqlmUsHE6IrY4crIqnP6tVjSyriNPnhUVF4ot5Qjgan5cOzmsivP6dbXW0V5k7fWBNy2vLPy5YKhz3NjkVQKv++lt6XXMR0ZT7KgfjstcGpIEACAQOgUpiqevjG/U0ZYd5RkfZs1yxGXHL6dLCSJmHr1kccTTya8VhvTD7BPj/LF7+4h9Xjf/PuUHM3rhjvAmHnZzh6Ow6tXIVQBxDgafwWKnKdmPfx6XLKePH0HVdO8nJ0tLYNz8tEo5dK4QYOSOl81pmOxHV8s5eN9JjD/W15JUvNm/dRc+99r4kctYv+U5aa/142teS8pYnutg7n9dMu4nzV2ztn/9204QpX0mxHpTPWLCMfWW4Vfv4OUfXfPXdz6SsC4QvE093Ki3jYia9OX4Kbdj8H7EIko0d3YaJsOWDBtxXaueYt33gd0inGQvHPRZA7Kh97nw61RU7wuyZvKuBHf3kuBT28iENBEAg8Ajwzq+RXUKoc30jTdtppDMlm0jL7OwNjXT03FV6HMBbJilkUCuBchVALEKKhBDgw+ZkKxTBn3g2xMg7WIqNt3O/Ik7K3bDlPymlivCvqSeWdXgWaPf+w9IPx0t459XhVtu8jUYDXRYHyvEq9A/zl9CHk2ZLW7vZ2Yzfw4fN8Rkuw0a9S7MnvUudr2wnv5I2/btDOm2X2xgSopeWgfj3H87Pnv+DX3iTXn9hKD360N2WMgUi2BVvH2fjOAxK2yPa+dxrH0hnvXB6owb1pPNauN3cxk+/+JZWCufj76aNt3IC96YP8vv5dOJOHdpI06zcvj/+/Nuq3XI+frZr7yHplte4p39j3pkgPw+WT+O/P5Npx2K73a0kvq81igOUhYWFkiFU/MrrD/OhD4/pn5/IcHyb01aGlVe/nLbC/FAXUY30g2a5kBNZ/EUgXpw/d504GX59ionYF2jnORPxLJCtNRCT4d1Fvruai9lxRCe3xYN7jREoVwHE65G71y8ipQ/Q5hU/lVqW4lkYFj88U8KzNXf3vklajmLnaT4w7oPPZ9JvwiueY9ywCLI1Fjqchx3HPnzzRWlKkLcerhG+Ry++8aEUTOqLr36mrya/Zyn6+nsTpVknPqn3o7dfsogSXr99/7MZ4r2r6ZMvvqHbe95AtWuKUKdOjGMvjH7nU0n8cFjzWZ+/S82L4zXwTNCi39dIjnH7Dx2VTgx+feTQUrV50ge5Ep4BYlF5u9itwLNoy9dusCuAWICx8fbIFqJ9SmEq1xUUn6cOEAk/GnsWIhI1t0fxtOgP/zgxNfXLVLWWk5biUXkR4Nkg3sZ+azP+hc4kzQadF6e6F4lrPpuOT46vHsG/XsJAIDAIqG7hlpfJWCCwjX/jBbqnzy2S+OF7ngnipa8RTz/Gt7R01V/SrI50Y/NH65axNO+rzyzroezPw6fy9r39Finn9j0l/0GcOnNWBIoyO4TyspRyWz6v377y3FNUqVIY5ecXWGZMbF5ndcsxHJLEbBXPJH0z5QOL+OFMHGTwoXtupxeKo3ZybIkjR5Osyss37vRBLsOf8nLfHcXxKzgiqTxTpcy3sviUYzmqqYnKXvNXlsc1CIBAYBIIEWKI4/mwI3SX+nq6opYO4icwhzqoe6U6AfTd3N+k/8DZU77XzdfbHZy7e4sdM8JyRSTmP4qdeG0z/u/JhyWxYZt+RZzZK57FDM/usBUUlsz1rlm3xbaIdADd5uVz6N8/5orzVrqUem6bMPfX5VLSzTdcS00bN7B9LN3LooNnpraKQFX2zJ0+2CvPu7oai636bPJsj5zv1JlzllDsvPwFAwEQAAEQAIFgIlCuS2CugOUQ4WwceOpC+kW7RSLCK0nxEzj0N88Y3Xdn6WxyWHHbJ40a1rMk5ebmS7vKOBKnfN7Lt0KA/b1tJ/UVIqv7NZ2kZTSePYp0YfcYV8yzL3xYHttN118jfdr7g4URe/rzDjf5RF/bfO70wbasfM9h3Gd+v0AK484xJmSTz7RhoRnTpJGcHJyfVYTzes2mdvvOvmksUtn4e6Dn4yb8YVmpYq2hwDc1Vxb9qRzltC6T6Jfst+bXfjltRfHDSOdLyq5UgTwgAAIg4C4B1QkgWQwsXbVOLHGtK7M/mVmX7OapIRyf7Zmj7edfTRonOUEnJqUQn6vCTsps0VFV6YZrrxb+ND3olh7XWpbjpId2/kgVcXXkE3sb1KtrJ0dJUptWzaWIoLJgKnlivnK3D7bl+Z5nd1gA7RUH7/EuL3lGSLn7y165YEqTYuY4iJuTW0FxgLzhr+szKmjjAHnDDWVBAASCi4CqBFBB8U4tHgIOFFWvTtnOkbaHv8nDxzt23DGuZ8mcabTu7620Zv0/Uhjxs+L8Fd6R9vvqDdIP76z6WjhOO4tFxIGrZKsa6dx9Vp5ZcBSbyN0+yO9VfrLIkme3VojIohy5mne1sQM2m7wUpyyDaxDQMoENGzZQbm4uPfTQQ1ruBtoOAiDgZwLuqQQ/N4Z3dbHwYYfdXjdfR6+OGOLnN1pXz0sBt/ToJv3wE952/7c4T2XJij+lrfe8ZXzq7J/o5eFPWhdU3DVWLLGlCgHVUfHM9pIFFluTYj8d2+e+ur/ztniaJna9rVizQRJA8uwPx1TiGEcwEAgkAvPmzaPU1FQIoEAaVPQFBPxAQFUCiPvHsxUsgI6KkN7ObNkf66XYPnxYHAc39MZ27j0o+eE0alCXul5dIlmaNWkohSB/QJzs23fAs5Jvz47dJbvH7L0zqlpV4rhDFzOz6JDwT+KdZ/aMd57JgQebNm5oL4vP0jjIIQsg9pdKSjklzpfZKNUt7xLz2YtQkc8ImOa/TCblgT9OajadS3TyFI9AAARAAATsEVCdAOp6dQfpFFw+CZcjQNvbRfXXxn/pZXHwG9vSn76w1y+30rbv2i/5/NQVS27rFn9b6pgKnpm6TQgZPmeLw42XZdwH3p22QGyHf2ZQP6tgjXLZ35b/KV3ylnuu25/GMX441g/7Nn35zTxLpGs+LgOmTgKmP73/XquzZ2gVCIAACKiDgJ+2tDjvnPJ08l3iwDelPfHwvdIOL/aPGf3up6V2grEz77hPv5SKXCd2afH5Vd4aCxa2c2JJat6iFaWq46Mk5G3krpznwjF++NiO82IX20tvTqA8sV1faes3bxNCxBx1+ZEH75YcrZXP/XEtz/YsFst5bFeKA/Z4xgumEgLhIsqcryy8qq9qQj0gAAIgELAEKmQGqEPbOCnKMx8JwafCsw/M26/8j7p0ak8REeHi3K1nafir70lBB+/qP4w6dWxL9evUpmPJKbR9935x1pWR6ohTdT8UEZt9YXzaLp8v9rtYVnvn4y+Il9fYP6ayaMsOEURw9/5D0s4u9k8aMvCBMl/J2+qfFmd9TfvqJ+FQvYVuf2goXSX6ULN6tBR756A4rZf7wMt3Tw64v8z6fJGBnZ0nzfjBUhXvaoN8ew9JAABAAElEQVSph4D+pmfIeHiDCMFb6F2jxHZ+Xed7vasDpUEABEAgCAhUiAAKDQ2R/uOfOnuOFF2ZY/9wTB7ZenTvTL98O4lGvfUxHT56nNZt2io/oojwcFH2bhosdjOxv42v7B0huqpHVaOfRRBDFln8o7Tru15FY1582uV3Dh88gOLEstMbH0wmdnZeKXZgKe3h++6g10YOsbs8psznq2v2Z2rXuiXtP2ze/cXHZMDUQ0DX6S7STxC+POeTOJiUZw0LEeeUNWxLurAIz8qjFAiAAAgEEQGdCNzn4b+23lPiLebsDMx+MLwbiXdhKY2XwY6Jw0h5yzYHRWQfHV6ucnSyubKsp9e8RZxFV4qImcPRohuLQ0zZyZpnhDwxjjZ9WBx1wQ7RHHiOAw/GtYiRgiB6Uh/KlC+B7HKKA+RJr/7OPk7JBRfp7ui2VC3EPdGTk5ND6enp0mujo6MpKsp+3CxP2lWRZbhf/fv3l3aBrVmzJmD6VZFM8W4QCFQCFTIDJMPkIIP848hYELGPjy/8fBy9wzadhZgvt4ZzzCBe6uIfGAj4isDHqX/Rl+f/kaqbff5fmhM7gBqEBYaI8RUj1AMCIAACzghYT7k4y4lnIAACqiCgFD/coOSCDBpwfA6dKSwJwqmKhqIRIAACIKBiAhBAKh4cNA0EbAlMUMz8KJ+dEEthEEFKIrgGARAAAecEKnQJzHnT8BQEQEBJgGd+ZhQveynT5WtZBP0U+0hQL4eNGDFC7Nr00cGyMlx8ggAIBBwBzAAF3JCiQ4FIwN7MT5cqjentBreRTtFhWQQF83JYXFwctW/fXkEFlyAAAiBQmgAEUGkmSAEBVRFg8WM788Pi5+tm/WhgrS40vtEdEEGqGjE0BgRAQAsEIIC0MEpoY9AScCZ+IkMqSVwerHElRFDQfkPQcRAAAU8JQAB5Sg7lQMDPBFwRP3ITIIJkEvgEARAAAdcIQAC5xgm5QKBcCbgjfuSGQQTJJPAJAiAAAmUTgAAqmxFygEC5EvBE/MgNhAiSSeATBEAABJwTqNCjMJw3DU9BoGIIbMlOpmdTfpVezifFyKfF6HQ64h9/Wp6xkPJNBqtXyA7Pss+P1UMHNwsydtNrp5aT8pwbvXCVjtRXIr3oQ3n3y0EzHSb/0nwgxYbXcvjc0YNAPeLDUX+RDgIg4DkBxAHynB1KBiiBIiFAMg15pXunVBOln/olxRPxww3hmSA2pQgyCjl0yVhy6LCUgf+ogH5Z3u3gwlBxRxQ6aFFgJZsO/EmmbfOJCu18zz3tavUGpOv1Aumi6nlaA8qBQLkSgAAqV9x4GQi4R2BUvZvInZkfZe33Ve9AP6fvot25p5XJuA5yAqbzSWSccg+RocjnJEwpuylk5HKf14sKQcAfBOAD5A+qqBMEfETg6RML6UDuWbdrKzIZaWTK4qAUP9nZ2ZSVhXPRHH5pUvb4RfxI70va7vC1eAACaiOAGSC1jQjaU+EE6oVVo/8TsydshUVFVJBvXjYKq1SJKoWF+bV95wqz6e8c8Rt68boUL8U9mvQT/RgzgK6o7NrSgix+lmcdsmpr47Bo6lqlieTHVCT6lV+O/bJqiAs3USERLuSyn2X06NGUmppKa9assZ8h2FOFOPabGf1Yt98ajYqDlQAEULCOPPrtkEBcRB2a0Pgu6TnPJmRkZEjX0dHRFBUV5bCcrx78nZ1EQ5IXCGdo8xKFOyLIkfi5O/oK+rTx3RSiM0/6wlnYV6Ol/Xp0t48iXY8nPe6IcaL4u5J2zOPyaim4c+9BevODyZbmzJr4LjWoV8dyb+/ixwVLae6v5iW/BvXr0KzP37WXzWdpvR4YLM65K6S1i76mkJAQj+vtP2QUXcrOodmTxlH9urVdricvL58OJhyjQ+Knhvj3sHmzxtQitolXbXH55X7ICAHkB6ioEgS8IXB91Ria1exBt0WQq+LHm7ahbAASiKxBujqxnncs1ByR3PMK1FHycm4eJSalWBqzcu1GGjTgfsu9vYsFi1dZyuQLYeJvO5t2QRJA3r7nWPJJyrqUTTwT7IrxrtFxn0yn+YtXksFgPcvXrk1L+ujtl6hFTBNXqlJVHvgAqWo40BgQMBOQRVC4ruR3FHkmyJ5PEMQPvjkg4FsCK9ZuclrhMSGWjiQmOc0TCA+NYlnztXGf089ipissNIx63tidRjz9GD32UF+qUT2K9h86Sv2eepHOnU/XXHchgDQ3ZGhwsBBwVQRB/ATLNwL9LA8CjRvWp9o1q9PeA0fo5OlUh6+UBVKnDm0c5gmEByxwFq/4k8LDK9GMz8bSlA/H0DNP9KPXRw6l3+d+SY0a1KOcy7n0+fTvNNddCCDNDRkaHEwEyhJBED/B9G1AX8uDAC/39L71BulVssix915eImO7/RZzXnt5OO2cWLb6ffV6+mTaN/TZF9/Ssj/WU8bFTEfZpfSLmZdow5b/6Mf5S2n3/sNiqco6OKq9wuwbtHPPQWK/pG9++pX2uFjOXl3KtF37zJsp7ugZT12vNm8OkZ/XiI6ipx9/SLrd9I/2dgCWzK/LPcInCICAqgjIIsieY3Snyg1pfba1A6qtw7OqOoPG+IWA6fh/RNkXXKrblLzLpXweZTIWkWnvKteLNulIOhFAUU1mMBjojlvjac6CZbRizQYa8tgDpZqXcCyZjh4/QS1jmzr1fVm68i8aO2EasX+R0qoL4TBGzKDc1fsmZbJ0Pf+3lfTOx18QLz3JFlWtKk396A35ttQnt2fkmA8t/khyBl6imjz+derSqb2c5PYniyq29m1b2S3brElDKf18+kWxs7RAmimym1GFiRBAKhwUNAkEbAk4EkEQP7akgvPe+NvbRAf/rPjOi8jSxin3utwO3VPfkO7ah13OXx4ZDUJ4XNWxrbQ76uCRY5SUcopimjSyerVl9ufWHlRk4xQsZ2SH4bc/nEqhYrfWsEEP0zVXtZeE0JZtu2jOwmX08thPKCIiXPKpkcvwjM/7n8+QbvvefrM048KzQQuXrKKhI9+mwsLSTsvcxgFDX6Y8Edai183X0203XSeJp3+376Ffl62mJ597gz4Z9wr1EumeGNd3zdXt6eYbrrVbnMUXW0OxC46XybRkEEBaGi20NagJ2BNBSiB3Rbe12uqufIZrEAAB1wgYhaDhM/9uF+Lm258XiVmgjZKAUZaWl8bu6NmDkk6cUj6SrnNyLtOkGT9I15++N9pKfNwa343Yz+ijybNp3KdfUvcuV1JkZBXJj2bK7DlSmffHjKD777rNUm+/+/rQo8+MpsNHj0tpypNixk+cKYmfZ5/qT8MHP2IpwwKqVfNm0nvYP8dTAdRH9NGR8fLe9K/nSo973uiZwHJUd3mkwweoPCjjHSDgIwKyCFLuDuOqWfx81rivJc6Pj16HakAgaAmwuGFjAaS0I0eT6LjYRh7XIoZiRRwce7bo97WUnpFJ7Vq3tCs8BvbrSxHh4ZJ/0H+790tV/LL0D2lrOi81KcUPP6wqBNKIoY+WetXWHXtp2859VK9OLXpaOCbb2qMP3k1VqlSWRJrsy2Obx9P7v7fupAfF7q8LGRepWeOG0s4wT+uqqHIQQBVFHu8FAQ8JyCIoujha8gPVO0L8KFjGx8dT7969FSm4BAH3CXS4Ik6aqZH9feQalgu/IDZZIMnpys+jSSek2543dVcmW671ej21iTPHXjqebJ5B2ncwQXp+43XXWPIpL7p27qi8la45ICFbqxbN6PyFDDpzNs3qJ+1COrUXcXrYeFebLyz13Hka9dYEGjziTUnAXSvaNWfGBKpS2fPo7b5olyd1YAnME2ooAwIVTIBF0ObWwynLkE91w6pWcGvU9fp+/Ur/JqyuFvq+NfoHPhBO0K7FYTEl/E2mZe/7vhFcY1hl0g//xfW6G13het4KyNlH7Aab9cNCyRn6uSHmGZiVxfGBeInMkSWnmA8gdhZJOq55DO3ae4hOnjFvtU85Zf5kXxp7FilmctgZmgMYyiYvv236Zwfdcu8gOdnuZ2bWJbvpriayU/ZXc36lL776WVpyq1kjmkY9O4juu7Onq1WoLh8EkOqGBA0CAdcIROjDiH9gIKBrcqXrEHIzi0+ac72Iyzn1IaRre7PL2dWesY/Y+s0CaLlYBmMBxA7HySdP0xWtW5C8+8leH/ILCqTk0NAQe4+lNDnGEB8pwVZQWCh9sv+RI+Ot7kqTo0+3aRVL8Q5mjuT8nTq0lS/d/rwgdni9JGZ92LGanbqHiq3vQ8XuOPZd0rJBAGl59NB2EAABEAABvxFoG9ecYpo2knxoeLlJ3v3Vx8nsDzeGfWJ4+/jp1DS7beNYQ3uKl6SaNqov5eEyBw4nOizDu8F4p5fSuG1svHNt5DMDlY98ds0xiJ577X2pP61bxopjL14k/gwEgw9QIIwi+gACIAACIOAXArKvDztDr5CDHxYHSnT0Qtk5+s8N/9jNwjGEssVOMbb2wteIrYWIKcS2et1m6dP2D3vpLYvP30pITBbC6ZxtESmA4sD/vUZ9HhpK7LztiS1YslISP3zW1/dfjA8Y8cMsIIA8+UagDAiAAAiAQFAQ4GUwNo7dw346snO0s84/2LeXtHOLd14tW7XOKiv70shbx3uLKNKxxbM4D4ut7rxji7e6cwwhpfF28xnfzVcmSdc9uneRHKD5Zp4IoGhrX/24UOwS20u8bZ4dpT2xLdt2S8VeHTFY8kHypA61lsESmFpHBu0CARAAgfIgcCmNTGcOe/6mIutlGc8rUmdJjvbM8XTkgH/sGF2W1ageLXyGHqHxE2dJAQ83imMirhI+OJfErM/GLdslUcLRoDmPbLXE+WPDBw+gCZO/kgIocsDETu3bUPrFLFq8fK0kjurUqkFpYreXbOxj9NaoYTRo+BiaKQQSH87aTezKMgrFs1lsU2fnaPbZ+WjsS1JsI7mcO587dh+Qso94fTyJShwW5Sf/rV3g8LkaH0AAqXFU0CYQAAEQKCcCpj8mEv/AHBPgYIAJM5OlDM52fylrGNjvHmJRw9Ggl4gjMfhHNo71M+mD10T05LpykvQ5qP99VC0ykt795Avhb7RJ+uEH7Is0e+I4enTYaEkAKXUIH3Mxd/anNOrtj2ndpq3Sj1xpj26daeSwx6Xycpo7nxwFm+P8sNke5+FOPWrNqxPOWGJyDAYCIGCPQHZ2NmVkmH/jiha7NaKiouxl01xaTk4Opaebt02jX5obPq8abNq5hIzT/RQqoHIUhUw661X7Aq1wbl4eHUo4TkePnaDaYgaHd2w52x7P/b+UnUO7xfJZhpj96diutdMdZzIvPsMs8XgKHTiSSCEizhD7FPFuNZhjApgBcswGT0AABEAg8AjwlvkQET7BYL2l2icdjbUfxM8ndWu0ksoREdLyFy+BuWrVqkbSDWL2xh0LEUtdcS1jpB93ygVzXgigYB599B0EQCDoCOhqNyP9C8vI9N9CEXwm13f9r96QdD2f8119qAkE/EwAAsjPgFE9CIBA+RKYOHGitLw3adKk8n2xht6max1P/AMDgWAmAAEUzKOPvoNAABJISEig1FTzsQIB2D10CQRAwEcEEAfIRyBRDQiAAAiAAAiAgHYIQABpZ6zQUhAAARAAARAAAR8RgADyEUhUAwIgAAIgAAIgoB0CEEDaGSu0FARAAARAAARAwEcEIIB8BBLVgAAIgAAIgAAIaIcABJB2xgotBQEQAAEQAAEQ8BEBCCAfgUQ1IAACIAACIAAC2iEAAaSdsUJLQQAEQAAEQAAEfEQAAshHIFENCICAOghEitO0A+XQWnUQRStAIDAJIBJ0YI4regUCQUtgwoQJQdt3dBwEQMB1ApgBcp0VcoIACIAACIAACAQIAQigABlIdAMEQAAEQAAEQMB1AhBArrNCThAAARAAARAAgQAhAAEUIAOJboAACIAACIAACLhOAALIdVbICQIgAAIgAAIgECAEIIACZCDRDRAAARAAARAAAdcJQAC5zgo5QQAEQAAEQAAEAoQABFCADCS6AQIgAAIgAAIg4DoBCCDXWSEnCIAACAQdgVxjYdD1GR0ODgIQQMExzuglCAQNgQ0bNtCqVauCpr/+6mhi/gXqeWQGtT/wCY0++TsVmYz+ehXqBYEKIQABVCHY8VIQAAF/EZg3bx7NnDnTX9UHRb0sfgYcn0PHC9Kl/i68uIdGpPwGERQUox88nYQACp6xRk9BAARAoEwCsvg5X5RjlXdl1mGIICsiuNE6AQggrY8g2g8CIAACPiLgSPzI1UMEySTwGQgEIIACYRTRBxAAARDwkoA98ROm01O3yKZWNUMEWeHAjYYJQABpePDQdBAAARDwBQFH4mdqk/vo+5j+1Df6CqvXQARZ4cCNRglAAGl04NBsEAABEPAFAWfip2dUHIWIWaBPGt8NEeQL2KhDVQRCVdUaNAYEQAAEQKDcCJQlfuSGyCKI75dkHpCTSZ4JmtTkXgoVQknLtnPvQXrzg8mWLsya+C41qFfHcm/v4scFS2nur8ulRw3q16FZn79rL5vP0no9MJgKCgpp7aKvKSQkxON6+w8ZRZeyc2j2pHFUv25tl+tJz8ikPQeOUHrGRWpYvy61at6MatWs7nJ5tWWEAFLbiKA9IAACIFAOBFwVP3JTAl0EXc7No8SkFLm7tHLtRho04H7Lvb2LBYtXWcrkC2HibzubdkESQN6+51jyScq6lE1FRUUuVXUh/SI9M+od2ncwwSp/WFgoPdi3N7307CCqUjnC6pkWbrQt2bVAGG0EARAAAZURcFf8yM2XRVAw+AStWLtJ7rbdz2NCLB1JTLL7LJASedbn8Wdfk8QPz4jdd2dPGvLYA9SqRTMqLCyin375ncZ+NFWTXYYA0uSwodEgAAIg4BkBT8WP/LZAF0GNG9an2mJZZ69Y6jl5OlXudqlPWSB16tCm1LNASliy8i9plqtdm5b063eT6YM3XqAX//cELflxGk0e/7rU1aWr1tGJk2c0120sgWluyNBgEAABZwRGjBghlgkKnGUJ2mfeih8ZnCyC+D7QfIJMJhP1vvUGmrNgGbHI4dkOe8ZLZGy333ID7dp7yF4WKe2cWLbatmsfHTxyjPQ6HcW1jKXru3aiGtWjHZa5mHlJ+NocphMpZ6hDuzhq17olhYY69/lh36D9h47S/sNHxcxMIXW+sh1d4UI5h40ofrBj937p6on+91H16GpW2W+76TqKbdaYjosltUNHj1PTxg2snqv9BgJI7SOE9oEACLhFIC4uzq38wZLZV+JH5hWoIshgMNAdt8abBdCaDXYFUMKxZDp6/AS1jG1KLWKayEhKfS4VsydjJ0wj9i9SWvXoKBozcijd1fsmZbJ0Pf+3lfTOx1+Q0Vhy9lpUtao09aM3SuWVE7g9I8d8aPFHktNrVI+SZmm6dGovJ7n9yU7PocLh+qoObe2WZV5sLO60ZhBAWhsxtBcEQAAEbAhMPLuB9uedtUktuc0xFNDO3FNUYDL/Z8VPOMghx/nhre6emjMRdMPhqdQuor7T/xiH1L6WutoEWvS0Lb4qZxDC46qObaXdUTxrk5RyimKaNLKq3jL7c2sPKjKUCBVlpvmLV9LbH06VxMOwQQ/TNVe1l4TQlm27aM7CZfTy2E8oIiKcet7Y3VLsx/lL6f3PZ0j3fW+/mbpe3YF4NmjhklU0dOTbks+NJXPxBbdxwNCXKS8/n3rdfD3xrAyLp3+376Ffl62mJ597gz4Z9wr1Eume2Lol3zkstnXHXmnpKzy8EnVs19phPrU+gABS68igXSAAAiDgIoEdl0/R3zlJLub2jfiRX+ZIBKWJs8TWZSfK2ex+3m0TYNFupnJONApBoxOzGbcLcfPtz4toxZqNxAJGabL/zx09e1DSiVPKR9J1Ts5lmjTjB+n60/dGW4mPW+O7EfsZfTR5No379Evq3uVKioysQjmXc2nK7DlSmffHjKD777rNUm+/+/rQo8+MpsNimYlNrNJZbPzEmZL4efap/jR88COWdBZQvE2d3/P59O+s2mDJ5MHF76vXU8bFLDpwOJH4ulKlMHpr1DCqW7umB7VVbBE4QVcsf7wdBEAABMqdwIt1b/Rq5se2wbIIigt3PaaMbR1qu2dxw8YCSGlHjiZJPi9xLWIk/xflM/l60e9rRaycTMl3x97My8B+fSkiPJzYP+i/Yh+bX5b+IW1Nb9+2lZX44TqrCoE0YuijcvWWT56B2bZzH9WrU4uefqKfJV2+ePTBu6lKlcqSSNu1z7Gfkpzflc833p9M7382gxb9vkbakn/jddfQHT3jXSmqujwQQKobEjQIBEAABPxLYHraFtqX63iHkydvn3rubzqSf96Toqos0+GKOGmmRvb3kRu5XPgFsckCSU5Xfh5NOiHd9rypZHlL+Vyv11ObuFgp6XiyeQZJjrHDgsKede3csVTyoYRjUhpvST9/IYPOnE2z+km7kE7txe4tNt7V5gt7Xfgu8S4wjv/Dvkmr122m+x5/no7bmQnzxfv8WQeWwPxJF3WDAAiAQDkQqB9WjWIq1XD4plxjIZ0ryiZ55STLmEePHf+ZfojtT+0r13dYztUHk85upMlpm6yyV9KFUP3Qak59gKrqK1mVUdtNH7EbbNYPC8Us0AZ6boh5BmZlcXwgXiJzZMkpp6VHziJJxzWPkXaPnTxjFqIpp8yfDUVEaXsWKWZyWHBwAEPZ5OW3Tf/soFvuHSQn2/3MzLpkN93dxAfv6W0p8srzT0n+RywS2Xl7tLjXkkEAaWm00FYQAAEQsENgQuO77KRaJ23JTqbByfMpz2SO/usrEWRP/FxZuSF9F9OPqoVEWDdCY3d9xNIOC6DlYhmMBRA7HCefPC22l7egZk0aOuxNfnEYBmdb1+UYQzWizdvhC8TWdTb2P3JkvNVdaXL06TatYinewcyRnL+Tg11c8nN7n0VFBiosKqQQfYjk62Obh5fmBoswAaPf+ZTWb94GAWQLCPcgAAIgAAIVT6B71WY0u9lDPhVBgSx+eMTaxjWnmKaNJB8aXm6Sd3/1cTL7w+WaNW5IO/ccpNOpaXxbyjjWEG8vZ2vayDwDx2XYsdhRGd4Nxju9lMZtY+OdayOfGah85JNr7i/vVmPB98u3k+zWKc9YpYrlN+6XMwFnt4IKTIQPUAXCx6tBAARAoDwJyCIoQlcy+S/PBLnrExTo4kceF9nXh52hV8jBD8XSmDPj4IBsf274x242jiGULXaKsbUXvkZsLURMITb2qbFn9tJbFscgSkhMFsLpXKliPIMz8H+vUZ+HhhI7b7trcj/4jDTepWbPDiWYd6bxjjMtiR/uCwSQvRFFGgiAgGYJZGdnU1ZWlmbb7++G+0IEBYv44bHgZTA2jt3Dfjqyc7SU6OCPB/v2knZu8c6rZavWWeXiGD3Tv54rpfUWUaRji2dxHhZb3XnHFm915xhCSuPdYjO+m69Mkq57dO8incnFN/OED46tffXjQrFLbK+0bZ4dpd21uJYx0mxWfn4BfTz1a6vgjFwXR4CeNvsnqdpbFfGM3H1PReUv+TWgolqA94IACICADwmMHj2aUlNTac2aNT6sNbCqkkWQJz5BwSR+eNQ52jPPbrCjLxs7RpdlfMzFc0MeofETZ0lLSBv/2S5FUr4kZn02btkuiRKOBs15ZKslzh8bPngATZj8lRRAkQMmdmrfhtJFzJ3Fy9dK4qhOrRqUJnZ7ycY+RhyDZ9DwMTRTCCQ+nLWb2C1mFEtRm7fuJHaO5ijOH419yaPZmbDQUBo1fBA99+r7NG/RCtp3IIE6d2onjvGIkiJh//Hn38JHqEgShU8OuF9ulmY+IYA0M1RoKAiAAAj4jgCLoFnNHqQhyQtcdowONvEj0+4jYgIlzDQLIGe7v+T8/Dmw3z3EooajQfOBovwjG8f6mfTBa9Swfl05SfocJM7bqhYZSe9+8oXwN9ok/fAD9kWaPXEcPTpstCSAlH7SfMzF3Nmf0qi3P6Z1m7ZKP3KlPbp1ppHDHpfKy2nufnKk6i8/fZvGvDdJOmeMzxqTLSRET088fC89K4SbM4dvOb/aPnXCacmktkahPSCgFgK8nJKRYf6NK1rs1oiKilJL07xqR05ODqWnp0t1BFq/+vfvb5kBCpTx8mqwyyi8OTvJSgRx9ih9RKkt8sEqfsrAV+bj3Lw8Yj+Zo8dOUG0xg8M7tpxtj+cKL2Xn0G6xfMYRl/mICWc7zuQG8JlcicdT6MCRRLFrSy/5FLHzsq+Ml8HYF+iYWPbKF87Y3CY+B83Zoa6+ere/6oEA8hdZ1BsQBCCAtDWMLOwggNwfs7JEEMSP+0xRQv0E4ASt/jFCC0EABEDArwSuqxojLYfZ2x025tSKUkEOAyXOj1+honLVE4AAUv0QoYEgAAIg4H8CjkTQ3IxdVi+H+LHCgRsNE4AA0vDgoekgAAIg4EsC9kSQsn6IHyUNXGudAASQ1kcQ7QcBEAABHxJwJIIgfnwIGVWpggAEkCqGAY0AARAAAfUQkEVQNX241KguVRoHxNle6iGMlqiBAOIAqWEU0AYQAAEQUBkBFkHrWw+jkwWZ1DaintNT3VXWdDQHBFwiAAHkEiZkAgEQ0AqB+Ph4yszM1EpzVd3O6JDKFF25sqrbiMaBgKcEIIA8JYdyIAACqiTQr18/VbYLjQIBEFAXAfgAqWs80BoQAAEQAAEQAIFyIAABVA6Q8QoQAAEQAAEQAAF1EYAAUtd4oDUgAAIgAAIgAALlQAACqBwg4xUgAAIgAAIgAALqIgABpK7xQGtAAARAAARAAATKgQAEUDlAxitAAARAAARAAATURQDb4NU1HmiNSggUGEx08hLR2UwdXc4Oo5rhBopWSdvQDBAAARAAAe8JQAB5zxA1BAgBk8lE60+aaMlRE+1OM1GhkTvGRwGYjwOoXslENzY1UL/WempcTRcgvUY3QAAEQCA4CUAABee4o9c2BBIyTPTxNgMdSrd5oLi9WKCjxUIcLUs00D0tdTSsk57CQyCEFIhwCQIgAAKaIQAfIM0MFRrqLwLrU4z0vzXOxY/y3WJ1jH5NMNHzaw10IVfcwFRFYOLEifTWW2+pqk1oDAiAgPoIYAZIfWOCFpUjge1njTR2s5FY1CgtqhJR53o6qluFKN9AdDzTRHvPExkV+Q6K2aJX1htoWs8QigjFTJCSX0VeJyQkUGpqakU2Ae8GARDQAAEIIA0MEproHwLpeSZ6629r8VM1jOiZK/V0R3MdheqtRc25yyaaucdIfySVqKCEi0SfbzfSa9eG+KeRqBUEQAAEQMAvBLAE5hesqFQLBL7ZZ6RLBSUtrSMOvZ7RK4T6ttSXEj+cq24VHb3RLYSev9r6r82K4yY6nF4iikpqxBUIgAAIgIBaCVj/S67WVqJdIOBjAjz7syyxRLTwZM/7PUKoiQu7ux6I00tO0Mom/XBA2jKmTMI1CIAACICAiglAAKl4cNA0/xHYILa7K/1+esfoqE1N6yUvZ28f0kFPlRULyFtOmyivqERQOSuLZyAAAiAAAhVPQPFPeMU3Bi0AAV8QOJ1tosGrhOeyE8srsn7IAsgdiwrXUfeGOvrzhFn0cMygexYZKMTFXyneu0FPV9dzMbM7DUNeEAABEAABlwhAALmECZm0RIB3amUXutfi1m7M/sg1t65RIoA4LZc1l3PdJRelIqyYWVjgAgRAAAQqggB+Ba0I6nin6ggol7NcbVxVsVUeBgIgAAIgoE0CEEDaHDe02scE0vPcr/BCrvtlUAIEQAAEQEAdBLAEpo5xQCt8SCBSxPLpE+vcp+fABRMlZ5W8dOdZE93mph8QB1FU2g2NiKpVcv5eOX8dsaUe5h8CkZGRFBUV5Z/KUSsIgEDAENCJAyCxdSVghhMdcZXAxpNGGrOpRMBcUYvoy9tc/33gqDg77CnhaC3/5akuzktdfG8I6XTaEDY5OTmUnm4++Cw6OjpgBEOg9svV7zXygQAIuE4AS2Cus0LOACJwbQMd1TAf8i716sAFol+OlAgiZ13NF/vn+eBUWfxwXp5x0or4cdY3PAMBEACBYCEAARQsI41+WhGoJE5xf6K99dd/6k4jLU10LoJyCk00ZqOR+Bww2XjJbUBb67rkZ/gEARAAARBQJwH8q63OcUGryoHA3S10xEtfsnFgxI+3GWnUOgPtEP49RYqTTy/m/3975wEfRfHF8RfS6CT0DqEjHUSKICJIk6oQAWkKCIgIgghSFBCkKyAgYkNQkPIHRIogSlOqiPQqLZRQEyChpvznTdhl73KX3F3ucrub3/t/4u3Ozk75zv29nzNv3sTTypNx1HltLO0O1879EPURZ4dlE3GBYCAAAiAAAsYh4LjTg3H6hJaCgEME+LDTcXV8qddvsXT17pNXWODwX4A43zRHeqKHIrYP7xKzlD0J+duU8JFnhz15G1cgAAIgAAJGIIAZICOMEtroMQI5MvjQFw19qXRw4ipY+FyOJrphR/x0LedDA6rh/0KJySEFBEAABPRPAP/21v8YoYUeJsBb0mcKEcTne2V0YE60lBBLn9VPR90rGGfXl4cRongQAAEQMBwBB/51b7g+ocEg4DSBQOEU3VnM6LQSS1p8vhcvgZ25FU+3hO+PT3wc5QiMo7LCX6hBSCBVz4sdX04DxgsgAAIgoDMCEEA6GxA0x7sE+JDT1iX5L6EdUVFRFBERIW8S4uVk8G4DUTsIgAAIgIBbCGAJzC0YUQgIgAAIgAAIgICRCEAAGWm00FYQAIFkCWzdupXWr1+fbD5kAAEQSNsEsATmhvG/ev0mPXr0iDJmzEDB2bx/BtHlK9coLi6OAgMDKGd2G9ubrPp89959ioi8JVNzBAdR+vSaEMlWec10Gx8bQ/E7FxJdPWW3W34PH1KW+wknpfoHBlKc+LMw3wDyqdCYfEKqWyTjxnsEFi9eTOHh4RQaGuq9RqBmEAAB3ROAAHLDEL0zdBztP3ycQls1odFD33ZDiSkrIvSNd+n6zUiqW7Mazf1sdLKFbflrDw0cOVHm+0rkryPeSwsWv2IkxW+YlmRXRZBn4j/FbMUCil87gdJ9uJt88j+lZMMnCIAACICAzgl4dQmsnxAOL7XvTV8tWKZzTGieGQnEH9vsnm7FiXPBTm53T1koBQRAAARAIFUIeHUG6MKlcDp97gLduJmwyyZVeuyBSlo1e4GeqVqBKjxVygOlo0iPERDCxW0WF+O2olAQCIAACICA5wl4VQB5vnupU0OHl19KnYpQi+cI+PpTuv6/OFx+/NHfKX7dZIfzIyMIgAAIgIC+CBhGALFT77mwS5QuXToqUii/SxTPnL8oDnSKp6KFC5CPT9KHVz548JDCxAzVlWs3qGC+PFSoQF5Zt0sVP37pupjpOnbiNGXKmJFKFS9CmTJldLo4Z/rgdOFp+QWfdORTpp7DBOIjxXcJBgIgAAIgYFgCXhFA746YQFt37KV7YvcR28Jla2jpqg1UoWxJmjfzEwuYLHo+nvIF7Tt4lHi3EluuHMFUvUoFGtC7ixQmFi+Im25vD6ODR0/SwD5dqc1LDeX7m/7cRbduR8msmYXwaPBcTRrzQT8K8Ne6uBLdiYqmL79fQguWrKKHDx+pRfOOqqYN6tLI9/pQxgzihEyN9X3/YzoqhE3zRvVo4FvdNE8SLldv2EKTZ35LV4WY0lrVik9Jp+kSIYW1yfI6JX1IVBgSQAAEQAAEQAAELAh4RQDFxsRSTIzYgixmY9hixeyOj7iPEelaW//HnzRs3HS6e/eeTC6YPy9FRd+lazciaO3GrbR9z780a+IIqlrJcvfN/fsP5DthFy9Tp97vS3Hi7+dHuXPlkCKEy/h53R+yrBnjh6kzO7GxscRiZs++Q7K+nNmDqLgQJ+FXrtO5C5do5drf6YDY7bXgi4mUPTib2tQbYscVbz1XBJbygGetRk+aTUt+/lUmpRdbqMuWLkbXrkcQ+z/9c+AIvdzlHSnEWjdroLwmP13tg0UhBryJv3ycKOZB6rT8UYKgdktlERcpPuyAW4pyayG5QsgnfRa3FonCQAAEQMAMBLwigGZMGC7ZtenSj46dPEOdQ1vQ0P49LXiev3CZBn80hR4JYVSnZlUaN6y/FDCc6YxwnH53xEQ6fuoMdes3jNb+NIdYHFnb9z/9TH6+vtSv52v0ZpdQ8vPzpYhbt2mgeHfn3/vp9607af+h41SlYln56v9W/ybFDy+PfT9rvJhlKq8W+c/+I9R3yFjptP3V/KU0pH8P9Zm9i1W/blLFT6+uofR2j9dkGzj/lavXhdgaS4ePn5IzVDWqVaR8eXIlKsrZPmgLuH0nSs6cadNsXZ8N089yTtzMl4munbbVTF2nxf86hfhPb5au3wqiCk301iy0BwRAAAS8TsArAsiRXvOSEYufMiVD6IvJH6nCgd8NKVJQLpU179CHbkRE0oo1G4XI6WSz2MmjB1OTBnXUZxyocNzw/tSgzRsybe/+w6oA2nfgqExjMaIVP5zIs0xtWzSir39YRjuEeErO2Ido+pcLZDae3eHlOq3lyZ2Tvpo2mlp17idmhG7SxBnf0LRxQ7VZ1Gtn+qC+JC44NlHHNwdrk3ANAiAAAiAAAiAgCHg1DpC9EeDloY1bdsjH2lkTbf6gbFmobq2EgH0r1/6hfaRelxSOxlrxozzInzc3ZcuaWd7yjJBiHM2ZjWeluA3W9k6vTrRrw0/0w5yEoIHWz7X3W7bvoXAxy8PWrUNr7SP1OjgoG9UUYottlx1R5Wwf1MJxAQJplED//v1p9OjkA4CmUTzoNgiAwGMCupwBOnUmTB2ggvnziDhBkeq99oLj7rBfzqXwq8TLPVmzJIgaJU/xooWUy0SfBfPlFT47p1RHbM5Qv24NWvPbVooUoqhFx77UqH5talivFj1duRyxWGE/In+rOhIV/DhB7tYS13nFTE/pEiH2slG5MiXol/WbKfL2Hbk8Z32UhrN90FZUu3plYh+n5GzD5u00bGzSEZGTKwPPQUAvBEqVQjwuvYwF2gECeiagSwF0lrerP7bWYonIEWMHZGsBZC0mLMqxsQv+pRfr0cXLV2nG3AV0/8EDYh8e/mNjofL8s9WpbcvGUtRYlGXjhn2Y2PLlTezXo81etlRx9ZbfsW6z9b2amS9s9EH73Ff4Pzmy1Z6ds/Vi6dpNoPh7T2blPNmu+JWjiCIuuKeKmh3Jp+wL7inLnaUUSphhdGeRKAsEQAAEzEBAlwKIZ2AUq1y+jHKZ5CfHB7I2f6st7tbPbd2/2aWd3M7OM0F8Rhbv+mJfpMPHTsm/L+ctIWufHFvlREQm9CGziPmTlPFOMcV4e761udIH6zKMdO9TuUVyus5t3Yn9bbrbBBAfhpqu1mtuaxsKAgEQAAEQ8CwBXQqgwgXzqb3mwzyzZM6k3qfGBfsI9ezcVv7dEyeB7xU7wDb/uZtWiOU23pL//ugpVPPpSsR+SPaMl+7Ywq8l+AHZy8eBFhXjgIswEAABEAABEAABzxPQpQAqWqiA2vP/zoaRvVkgfsYzNByksFnD59R3XLnguDvrft8mX+UgicpyWob06alOjaryj5fB2Ffm0aMYOnTspEyzV5cSrTrsQjhFi7hD9paieDs+Wx4Ro4j7AfMegfjom45X/iDa8bzICQIgAAIgoDsCuhRApUsUlbu02K9n8Yp1NgUQB1EcMmqqjKPT+IU6KRZAAQH+NHbqHBltevTQtym0VeLYKbyjTHEW5vhCSVn1yuXlY/YlWi626XcObZkoOwuj34QDMhtHrIZ5kYAIvhj37hPh7cWWoGoQAAEQAIFUIJDYcSYVKlWqyBEcJC85GKHWeLZkQK+EuDm/rN9Ey0WAQq09FNvVx0/7SoofDlrIgRRTauxDVK1SOVnMov+tkdGmrcv8celqmeTv7yedoq2fa+9LCRHXqmmCUyzHA/pr9z7tY3nMBgdWjBZLahkzZqCu7W1vlbd4CTduJpCMF7lTtbmzLKcqRmYQAAEQAAEXCHh1Boj9aFgY/HvoGNVv1Y2qie3mU0TgQrbQ1k1o/aa/ZMTm4eI4DD4vjI+RuHv3vsh/VGx9vybz9e3eURUuMiEF/3j/ne60QxyvwXGAWnZ8S8YZKlwwv9gZdoV2/3NQbrfn4gf26eaQXxIHP9y194CMB9Rr4EdUqVwZKluqmDyOg882uy629/PW+pGDeifpT5SCLuHVJAj4FKxA8RcOJJHD8Uc+hSo4nhk5QQAEQAAEvE7AqwKoqfDbWbzyVxl0kIMGhj3eOs5UeEbm62ljaK44dmLWNwvlbA8fG6FYeXFwKh92WkvEunGX8aGkX346msZMni3P/uL4PFpjv6C33mhPXV5tpU22e80xgFbM/5yGj5tGf2zbJc/+4vO/FGO/n+kiTk+lcqWVJHymIgGfVycRZQqi+Kv/kTiYzmbNfD6cEiDTT4hV/rMwvwCSO9dK1LZIxg0IgAAIgIC+CfgIXxrb/+ZPpXbzD0yYiLrMMzuFCuS1ObPCvkC8Df3Ef2cpQ/pAKlq4APFxFZ4yPgWeZ6U4GjTPNAUHZZVt4xkcJYK0s3VzfKGjJ/4jPt2ed4iVFkd8FC6QTz2I1dnykD91CERFRVFERISsLFu2bJQ1a9bUqdjDtURHR9PNmwlO32br1/nz54nDSxQqVMg04+XhrwOKB4E0ScDrAihNUkenDUNg9dUD9Mm1zRTo40ujcjagerkdi0ul9w6aWQB16NCBwsPFcTobN0IA6f2LiPaBgBcJeNUJ2ov9RtUgkCyBdbeO0cCra+lKfDSdj7tNb137hXZFn0/2PWQAARAAARDQPwEIIP2PEVroBQIsfvqHraRYerJCfD8+hrqfXQIR5IXxQJUgAAIg4G4CEEDuJoryDE/AlvhROnUv/hFEkAIDnyAAAiBgYAIQQAYePDTd/QRsiZ88fpkpS7onB8ZCBLmfO0oEARAAgdQmAAGU2sRRn24J2BI/ef2y0MKQ12h+SAeIIN2OHBoGAiAAAs4TgABynhneMCEBe+Lnx5COVDQwO1XMkA8iyITjji6BAAikXQIQQGl37NHzxwSSEz8KKIgghQQ+QQAEQMD4BCCAjD+G6EEKCDgqfpQqIIIUEvgEARAAAWMTgAAy9vih9Skg4Kz4UaqCCFJI4BMEQAAEjEvA6mAj43YELTcfgUU399H9uBiPdOzo/Su0PPKQiPLzJM4POzwrPj/JVaqIoC5nFtGduAcyO+8O63p2EbUPrkJFAoKTK8Kjz5/NXJRKpc/l0Tr0Wvhzzz1Ht27d0mvz0C4QAAGdEMBRGDoZCDQjMYFqR6dRZOy9xA88kOKM+NFWf+DeZdKKIO0zb16Pz9+MQrNXstsEMx+FYcYzzuwOJB6AAAi4TABLYC6jw4tmIZDdN4PDMz/WfVZmgtL7YDLVmg3uQQAEQEDPBCCA9Dw6aFuqEIgQs0z77l50ua6dUeeIj8mAgQAIgAAIGIcABJBxxgot9RAB9gIafHE1rYg46HQNc6/tpIlXNjn9Hl4AARAAARDwLgHM23uXP2pPgsDaEt0pNv6Jk3ISWZ1+dOXRHeoXtoIux9yR7yoiiG/aBFdwqDxb4qdEYE6aVrAVZfNN71AZnsoU5Ofd+j3VL5QLAiAAAu4iAAHkLpIox+0E8vhncXuZSoH5A7LSkmKdqcOZH+nCo4QdQ86IIFvip2z63LSgaAcK9suoVINPEAABEAABnRLAEphOBwbN8jyB/AHZaJE456ugfza1MkUEJbUcBvGj4sIFCIAACBiWAASQYYcODXcHAWdFEMSPO6ijDBAAARDwPgEIIO+PAVrgZQKOiiCIHy8PFKoHARAAATcSgA+QG2GiKOMSUESQPZ+gazHRiXZ7wefHuOONloMACIAAIkHjOwACGgIXH96ijhrHaH7kI/6s96IZXfyYORL0hx9+SBwNevr06ZQ1a1bN6OISBEAABJ4QwBLYExa4AgEqIByjF9pwjNaiMbr40fbFjNcnT56kw4cPm7Fr6BMIgIAbCUAAuREmijIHAUUEFdDsDlN6BvGjkMAnCIAACBibAASQsccPrfcQARZBvEU+vzghXrFS/jkR50eBgU8QAAEQMDgBOEEbfADRfM8RYBG0IG87mnN1OwWIw0575aqJIIeew42SQQAEQCBVCUAApSpuVGY0Ajn9MlHfDE/LZmdJF2i05qO9IAACIAACdghgCcwOGCSDAAiAAAiAAAiYlwAEkHnHFj0DARAAARAAARCwQwACyA4YJIMACIAACIAACJiXAASQeccWPQMBEAABEAABELBDAALIDhgkgwAIGJNApkyZEAHamEOHVoNAqhLALrBUxY3KQAAEPE1g0qRJnq4C5YMACJiAAGaATDCI6AIIgAAIgAAIgIBzBCCAnOOF3CAAAiAAAiAAAiYgAAFkgkFEF0AABEAABEAABJwjAAHkHC/kBgEQAAEQAAEQMAEBCCATDCK6AAIgAAIgAAIg4BwBCCDneCE3CIAACIAACICACQhAAJlgENEFEAABEAABEAAB5whAADnHC7lBAARAAARAAARMQAACyASDiC6AAAiAAAiAAAg4RwACyDleyA0CIKBzAlu3bqX169frvJVoHgiAgLcJQAB5ewRQPwiAgFsJLF68mObOnevWMlEYCICA+QhAAJlvTNEjEAABEAABEACBZAhAACUDCI9BAARAAARAAATMRwACyHxjih6BAAiAAAiAAAgkQwACKBlAeAwCIAACIAACIGA+AhBA5htT9AgEQAAEQAAEQCAZAhBAyQDCYxAAARAAARAAAfMRgAAy35iiRyAAAiAAAiAAAskQgABKBhAegwAIgAAIgAAImI8ABJD5xhQ9AgEQAAEQAAEQSIaAXzLP8RgEQAAEDEWgf//+9PDhQ0O1GY0FARBIfQIQQKnPHDWCAAh4kECpUqU8WDqKBgEQMAsBLIGZZSTRDxAAARAAARAAAYcJQAA5jAoZQQAEQAAEQAAEzEIAAsgsI4l+gAAIgAAIgAAIOEwAAshhVMgIAiAAAiAAAiBgFgIQQGYZSfQDBEAABEAABEDAYQIQQA6jQkYQAAEQAAEQAAGzEIAAMstIoh8gAAIgAAIgAAIOE4AAchgVMoIACIAACIAACJiFAASQWUYS/QABEJAEoqKi6Pbt26ABAiAAAkkSQCToJPHgIQiAgNEIDBkyhMLDw2njxo1GazraCwIgkIoEMAOUirBRFQiAAAiAAAiAgD4IQADpYxzQChAAARAAARAAgVQkAAGUirBRFQiAAAiAAAiAgD4IQADpYxzQChAAARAAARAAgVQkAAGUirBRFQiAAAiAAAiAgD4IQADpYxzQChAAARAAARAAgVQkAAGUirBRFQiAAAiAAAiAgD4IQADpYxzQChAAARAAARAAgVQkAAGUirBRFQiAAAiAAAiAgD4I+MQL00dT0AoQ0B+BmJgYevjwoWyYv78/8Z8ZzMz92rZtG927d49efPFF04yXGb5z6AMI6I0ABJDeRgTtAQEQAAEQAAEQ8DgBLIF5HDEqAAEQAAEQAAEQ0BsBCCC9jQjaAwIgAAIgAAIg4HECEEAeR4wKQAAEQAAEQAAE9EYAAkhvI4L2gAAIgAAIgAAIeJwABJDHEaMCEAABEAABEAABvRGAANLbiKA9IAACIAACIAACHicAAeRxxKgABEAABEAABEBAbwQggPQ2ImgPCIAACIAACICAxwlAAHkcMSoAARAAARAAARDQGwEIIL2NCNoDAiAAAiAAAiDgcQIQQB5HjApAAARAAARAAAT0RgACSG8jgvaAAAiAAAiAAAh4nAAEkMcRowIQAAEQAAEQAAG9EYAA0tuIoD0gAAIgAAIgAAIeJwAB5HHEqAAEQAAEQAAEQEBvBCCA9DYiaA8IgAAIgAAIgIDHCUAAeRwxKgABEAABEAABENAbAQggvY0I2gMCIAACIAACIOBxAhBAHkeMCkAABEAABEAABPRGAAJIbyOC9oAACIAACIAACHicAASQxxGjAhAAARAAARAAAb0RgADS24igPSAAAiAAAiAAAh4n4OfxGlABCOiMQHx8PB06epLOhV2i3LmyU8WnSlP69IEut/Lho0e0+5+DsrwMopyQwgWpbKliKSrTlca4u19nwy7Sf2fC6Mq1G5Q/b24qXaIo5cuTy5Wmue2dTX/uJn9/P6pTo6rLZd6MuEWHjp2k23eiqVK50lSoQF6Xy8KLIAACxiUAAWTcsUPLXSBw4tRZ+mDsZ3Tk+H/q2/5+flT7mco09eMhlCljBjXdkYutO/6m0ZNm0aXwaxbZCxfMR1NGD6YKT5WySPfUjTv7deNmJH3y2Vxau3GrRXPTpUtH7ds0pYFvdXOak0VBLt5cCr9Kbw0eI8WlKwKIBeKMuT/Qd4tW0IMHD9VW5M6Vg4a+04OaNqyrpuECBEDA/AR8xL8U4s3fTfQQBIguXr5Kr3YfSDciIqlAvjz0/LPVKSY2lrYJEcMC5pmqFWjup6MpMDDAIVx79h2i7v1H0KNHMVSremWqV/tpiouLo9UbtkiBlTVLZlq/9CsKypbFofJczeTOfnH7O/UZQvsOHKUcwUHUvHE9CgwIoA2bt9PZ8xdlE5s2qEufjh3ianNdfm/I6Km06tdNUgAt/36G0+VMnTWPvv5hGfn5+srxeqp0cTp45ATt+ucA+Yj/zZgwnOrXecbpcvECCICAMQlAABlz3NBqFwgoP6ClihelhXMnq7MYUdF36eWu71DYxXDq3ukVeq/v68mWzv/d0KLjW/Tf2TB6rW1zGjGot/oOzy682mMQHT91hvp270hv9+ioPvPEhTv7tXr9Zho8agrxrNjGFd9S7pzZ1SavWLORho2dJu+XfPOpx2e3eFx2/r2fTp05T78JAabM2vHyorMCiJfzXmrfRwrU8SPfpdbNGqj9+nHZaho7dQ4FBPjTllXzPS5Y1YpxAQIg4FUCcIL2Kn5UnloEbt2OkjMzXN+YD/qp4ofvM2fKSEPEEggbCwBHJkU3C18UFj+5hEAY2r+nfFf5B88gdQ5tQXnE0gov23jS3N2vfw8fk82tJ2bHtOKHE1s2qa/6AClixJN9O3zsFPUbOo6mf7lAFT+u1rd4+TopfurUrGohfrg8FrBlSobQw4ePxEzXX65WgfdAAAQMRgA+QAYbMDTXNQJnzl+QP4A5swcJp+fEfjk1qlUk9nFhh9/9h49T5fJlkqxo28698nnbFo3Iz883Ud5XRDr/edrc3a/YmDjZ5OxB2RI1nZ29eVaGrYyYhfG0FStaiMYN769Ww0uOK9f+rt47c3FSzCKxvVC3hs3XeAnz2MkztGHTdgpt1cRmHiSCAAiYiwBmgMw1nuiNHQJnzl2QT6pWKkc+Pj6JcvEsUEjhAjI97MLlRM+tE/7ef1gmVa30FMUKPyKeEVm8Yh39sPQXsSPsAMXExFq/4pF7d/fr2RpVZDvZAZpnYBTj/sxbtJLuREXLWS9bIlLJ667PXDmC6eXmL6p/VSs+5XLRCqenK5e3WQbvBGQLu5j82NssAIkgAAKGI4AZIMMNGRrsCoGzYss7W3BQVruvB2VLeHZDbJNOzngLPVvWzJmoa99htPexIFLeK1msCI16vy+xQPKkubtfDevVotc7tpFip+3rA4j9pdhZeMv2PRQReZsyil1yH77Xx6aI9GQ/U1I2+2RdvpKwS8/e+CuO6rwDDgYCIJA2CEAApY1xTvO9VGYAgrLa35HFu7bYIiKTFkD8g8r+ImwDR06iq9dvUGjrJlIsXLl6XTrsnjx9jnoO/IhWzv/co3Fm3Nkv2SHxjz6vt5e7wP49dIxO/HdW/inPOG5OtcrllFtDfJ67cEn168pmZ/yVsY++e494qS/A398QfUMjQQAEXCcAAeQ6O7xpIALRj31Xktri/igmQdQEiG3fSdltsQyk2PWbEbT0289EkMAQJYl6dmlHr/V6n1gEjft0Ds2ZawWykwAAGVZJREFUOkp95u4Ld/aL28bxhPp9MI7Oi2VA9oNq81JDypkjiM6J+4XL1tCOPf9Siw5v0bJ50yhv7pzu7o5HyouOvifLZR8v3t1myx7FxKh5eJs8DARAwPwE4ANk/jFGDwWBHML5mY19WOwZ76hiyx5sf5mMn2cR/kKKdWrXwkL8yOdiWayF2DHFtv/QcfnpqX+4s1/cxqmz50nx8+LztWWoAJ7ZeqFuTXq9QxtavXC2nOXiOEpTZn3nqS65vVyFEcc4unvvvs3yb92+I9N5KYyFEgwEQMD8BPD/dPOPMXooCOTIHiw5sB+LPYu8lfDM1g4o7Tt8bIbiS8IxaWwZB1lkixQ/rHz0gqfMnf3iZT0+0oOtb/cOifx8ePbsza7t5PPdew/ITyP8QxFA3FZ7y5uRtxIEUHJjb4T+oo0gAAKOEYAAcowTchmcgLLD64DY4m7LePbn8uPjLJLbAs/v58+TWxbDUaBtWcYM6WUyL6dkyZLJVha3pLmzX6fPhdH9Bw9kuzhSti0rlD/h3CwWdo7ES7JVRmqn8fEmvKOM7cDhEzarP3bytEyvUqGszedIBAEQMB8BCCDzjSl6ZIPAi8/XkkcgnBbb4Y+eSPix02bbsOkveSwG73jK44Bvi3LGlzJjoi2Lr/fuPyKTQooUtOt3Yv2OK/fu7FfhgvnVWR/2BbJl50W0bLbiIkaPrXACtt7RQ1rThs/JZlifb8aJLOTWbdwmn+MoDIkB/wCBNEEAAihNDDM6GSwC+9WpVU2CGPnJDBm7R6Fy8fIVmjNvsbxlnx6tscCZ+fVCeYCmNr13t1B5dMLP6/6g7bv/1T4idoye/c0imda1fSuLZ+6+cWe/eNaqXJkSsomTZ31LioO10mZePvri24R+1a9jO6Cgktdbn/bGi6NYs23cskP+ads3S4xVuNi9x2K19jNVtI9wDQIgYGICOAvMxIOLrlkS4C3qr/UeIg5FvSKPdGhc/1npFLtx6w7pp8MOv6OHvG3xEv84zvz6R7mEsnX1ApvPeCaEDwhlf6BrNyLo1z/+pKsiovTTYrv4/NkTPD5T4s5+nRbHe7R7413JhXd5NRKMcorlI979xQEeY2PjqKgIGMnb+5PaUWcByk03S39eTx9O+DzJw1CTGq8vhcidJo7V8PVNR7WrVxFnmZWUM3W7hD8TB8Lk881YBMFAAATSBgHbe0LTRt/RyzRGgJe2vvt8HPUeNIp4KWzeTyslgQzCqfmlRvUsDjR1BA07ChcpmI9GT55NvLSiXV7pHNqS3nv7dY+LH26nO/vFx0+waJv0+TfSIXr+4p8tUDQTS0nD3n0z1cWPRSNcvOnV7VV6IBy9v124nPgoE+U4ExZ0wwa8CfHjIle8BgJGJYAZIKOOHNqdIgIcGfhvcbYUz25wYL+UBL7j3VPsRMuHo7LzMMcEypY1Iahiihrpwsvu7BfHMeJAi3w+WkHRr+IhhamwEHxGNw50ePDICXHsRThVr1JBjFmCQ7vR+4X2gwAIOEcAAsg5XsgNAiAAAiAAAiBgAgJwgjbBIKILIAACIAACIAACzhGAAHKOF3KDAAiAAAiAAAiYgAAEkAkGEV0AARAAARAAARBwjgAEkHO8kBsEQAAEQAAEQMAEBCCATDCI6AIIgAAIgAAIgIBzBCCAnOOF3CAAAiAAAiAAAiYgAAFkgkFEF0AABEAABEAABJwjAAHkHC/kBgEQAAEQAAEQMAEBCCATDCK6AAIgAAIgAAIg4BwBCCDneCE3CIAACIAACICACQhAAJlgENEFEAABEAABEAAB5whAADnHC7lBAARAAARAAARMQAACyASDiC6AAAiAAAiAAAg4RwACyDleyA0CIAACIAACIGACAhBAJhhEdAEEQAAEQAAEQMA5AhBAzvFCbhAAARAAARAAARMQgAAywSCiCyAAAiAAAiAAAs4RgAByjhdygwAIgAAIgAAImIAABJAJBhFdAAEQAAEQAAEQcI4ABJBzvJAbBEAABEAABEDABAT8TNAHdAEEPEJg8Yp1FH33niy7eePnKXfO7BQbG0vXbkS4XF9Q1iyUPn2gy++78mJcXBz9c+CIxasVy5WmAH9/izTcJBDYd+Ao7Tt4VN6UKlGU6tSoCjQgAAImJOATL8yE/UKXQCBFBH5e9wcNHfOpLKNMyRBa/v0M8vHxobCL4dSobQ+Xy54yZjC99GI9l9935cX79x9QlfqvWLy65Zf5UtBZJOJGErhwKZyavdqbHsXEUMYM6WnVj7OpQL7coAMCIGAyApgBMtmAojspJ3D9ZgSNnzZXLahfz9ek+FETdHQRExNLL3d7x6JFK4RY8/X1tUgz082CJato6ar1apdCWzWhTu1aqPcpvSiYPy+1ad6Qlqz8le7eu08fTficvp7+cUqLxfsgAAI6IwABpLMBQXO8T2DCtK/o1u0o2ZCihQtQ/To1vN8oOy2Ip3g6+d85i6dmn9O9fjPSos/XU7AkaQFOc9OtQxspgDjpr937aNWvm6hlk/qaHLgEARAwOgEIIKOPINrvVgLHT52hNb9tVcvs1r51srM/L9StQVmzZFbfSeqCZxdS23z9fOnNLu0sqs0klnZg9gmEPBa+m/7cJTN9/tWP1LRhXfL3w78y7VPDExAwFgH8v9lY44XWepgA/9ApliVzJmrV9AXl1u5n/16dqVTxonafO/uAl7XSpfMRf+7ZpMk/2u/26epsM9J8/i6vtiRFALFf0Io1G4mX22AgAALmIAABZI5x9Hov2JeefyC2i+WCYyfP0PkLl6lwwXxU4alS8q9x/WcpR/Ygi3YuWr7GYimDH7IvR7GihdR8XO60OfPpTlS0msbChEUHC4SLl6/QF9/9pD4rU6IYdQptIev/8vsldODwcYq8dZtKlwihcmVLUpfQlonaobx8LuwS/b51p3JLtapXTrUdW1u276GFy9bQ2bCLsk8+5EO5xK6zIoXySxHWtEFdCgwMUNvGfkrLV28k3uFlbd/8sIx8BJuKgn3NpytJZ97Rk2ZZZBvyTg9ijootW7WBjhw/pdxS+5ebUdFCBWjJz7/S6vWb6cKlK1S4UD6qXb2KWBJ8hsqVKSHzsoP1cjHuvMvs34PHpNMwP+vzens5/mqBVhcRkbfoh6W/0KkzYXTm/AW6KMrnWbQ8uXJQtcrlqIXYdVemZDGLtzZs+kvwuSTqSdihpTzkHVtz5y+Vt906tLbY3ebK91Ip9+nK5SlTxgzqTsDvflwOAaTAwScImIAAdoGZYBC93YXwq9dp2NhptGPPv3abwtu/xw7vTw2eq6nmOXzsFL3aY6DYWv7kR/zZZ6pYOJzyj+/gUVPUd/hinCjn5eYvyrSDR05QaPeB6vPnn61OrwkR1WfQaIoRW9atLUdwEI0f+S7VrVXN+hF9tWAZfTp7npo+Zmg/ateqsXrPF7Z2gf38w0yXZ4DYybb/sE/oz53/WNRjfZMvTy76Yc5Eyp83YTcSs2v7+gDrbBb3vHw3pH8PcmQX2IDhE2j9H3+q78+cOIKWCvGzZfvfappy4SccrBd9NYVKFitCfd//WPrIKM+Uz8yZMtKkjwZRfbE8aG3bduwV35fPiH15krLX2jan4QN7qUuQfQaPoc1/7k7qFfp74xLKJOpmc/V7qa2g39BxtHHLDjXp5wVirMXWeBgIgIDxCbhnjt34HNADFwncvhNFr3Trn6T44aIjb9+hd8WP7J59h9SaeKagZ2dL3xR2ON30+EfuwYOH9OkX36v5+aJe7adV8WPx4PHNOTHz1H/YeJvih7PciIikNwd+RBzrxdp4hkFrz9aoor31yPWYybOTFT9c8eUr16jHgA/V2QiPNEZT6Bff/mRT/HAWFpbvfTiZ3h461qb44TxR0Xfp/dFTKVp8au2f/Uck/+TED7/z47LVNFu0wxVLyfdSWx8Lcq1t2Lxde4trEAABAxPAEpiBB08PTWefmZsRt9Sm8DJNhzbNqESxwnK25KcVa9UdVRxXhX/wf1k4W83f5432ctnp5OknO5kmTv+aWHzMW7RC/vArmXmJhGdlkrIz5y6oj8uVLkF5cueQy2DWP7jjp39Fi7+eqs4usMA4dPSk+m5QtqzqbIuaaOfijX4jiB2Nk7P+b3ayEG88e8XxhhTLKJZbhg3oSZXKl5Hb2Hk5ceqs7+ieWGZi475x2ovP16a8uXPSUDG7w0tgkz7/VilCfr7/TndKJ2IWKctUFg8dvDkslsN41q56lfKUQThM8+yeNgDkuQuXiP/SBwZS7Wcqy/b8tWufTFOqYBG0Ys3vcklSSZv5zULlUn7yjFbX9q0oZ45gOn32Aq3buJVOa8bw9607qG/3DjJvu5aNqGa1ilKYaWcba4ulyueEMGYLeLxMmNLvpSxM/MOa4YbNf9HbPToqj/EJAiBgYAIQQAYePG83/fTZMGI/Hq3NnDCc6tR8srzU+qUG1DS0l5rl1JnzxMs3yg8LRyPmJSntUhj/sLLfD0di1toIsRySW/iIJGfBQVlpyTefkrLjip2KB4+aTL/+/mSJh8XHb2Jpo5EQE2x7xcyE1nIEZ9PeJnnNs0qO2N279y2y/XvomMV9Q7E8+EqLRmoa70RiH6fvFq5Q03iGjAUQ+1N1FUtcLCqtBVDndi3JzwFBphZq44KXChd/M1UEAMwjn/JyUpvO/eRMnpLd1zcdzZw0gpRZEhY8PBvI/l+KHTr2RFRyFG3riNRffjqKSoQUVrLLpcn2PQap9yf+O0s8E8jC+oW6CcunNyNvW8w4sp8Zs1DMHd9LpazsgoPWOOQA+6Np/ae0z3ENAiBgHAIQQMYZK921dMff+y38d0KKFLQQP9xgdqTlH0j+4VZs5drfVQHEaSyGundqS3OF07Ji2h99TmPfoRYOxmEZN3yAKn74XRYDE0YOpJ179lv8gB8SIkgRQFev3eCsqlk7bKsP3HhhHb/mV+GDww7ADZ+rRdkfC7C+3TvSq62bqrWm1zhCq4keuKhetbwqfrh4nnFiobFt5161trKliqvihxPZ74edpLUC6PadJ87r94WQGdCri/o+59eKH37A/kVaY/+w20Jw5HKi3+76XnI7clo57nPaFfFdgQBiEjAQMDYBCCBjj59XW6/9oeOGsNhhcWNt1rM27ARrbX3f6EB/iB1YPENkbbwcNWpIX+tkm/f8A1pXMwOlZOIZhGYvPkcL//dkxuq8ONZCMZ7h0FrO7MHa2ySveYdZBgfO9+JlHq1Z//g/fPhIRB2eKf/4WdVKT4kln0pUTzh285EMqWnFNTvxlHp5V5/WSttwBs4rlhy1dv9BwvIdp/GOKt6lpRj3l2cDeczDLl6mg0dO0u5/DiqPXf505/eSvze8NHn38Zlw3Cj+rliPncuNxYsgAAJeIwAB5DX0xq/4nNiyrTWOmaLETdGmW1/bWjIKCPCnT0YMoPY930u0tfvD9/qI/xK3FA/WZSr3BQvktbv8wzNUWuMfXcX4v+q1pszAaNPsXU8aNcilXWCNX6gjd55p/Z+UOlgU8B8fx8B+NhyEb/Dbr1NwkONLc0pZrnwGBDzZcq+8z2JAaxnS2xBlwvdIa5Z3CU/YAX3ugqX0pxDCtnbqad935dqd30uun2eBzmsEkPVsoSttxDsgAALeJ4BdYN4fA8O2gH0xXDH2ybFlLDoChRCytsDAxGnWeZT7Ao+3iSv32k+egdBaUucA83/1e9pY9M2b+UmywRZ5FoVjLDXv+JaME+Tpdnmy/D93/UNd3/5Abme3Fj8ssJo0qJPi6t39vbQp9FLcShQAAiDgbQKYAfL2CBi4/sJitoWdiRXrLIIMPi18WJIzWxGOWYxwLCFlx5O2jFETZ1G1SuUpW9bkj5uwXsrSlmP9THHw5Tz5RZwdrd0S2/ZTw1j0TfhwIA0UkZp5i/Uf23ZJR2F2/LU23m03YtwMGQ/I+ple7300M0K8047jBj16FKM2t0zJECF66grfocoyWCWLwg2bWiaaBVRfcODCnd9Lro631GuNYzLBQAAEjE8AAsj4Y+i1HhQtbLmkxH4wjUTEZ1eMfXPs+X/w9utxn86hSaPeS7Zo9v/gGSZbu6CsY/8UfLzDiQvNmyenRdkRLs5uWRTixA37SXEUbP5j3xjeIcbRoVeJbfLaLfx79x+WMXbYgdgQphFAe/89LPumtLtKxbL0/azxFudr3RDBEW1Ft1beceTTnd9Lrs/6u5AXAsiRYUAeENA9AQgg3Q+RfhsYUqSAReP4GAk+AiG9lUMwR3PWbn/m3UPaCMssWjjejdZ4RmC7JrL0L6IMXh5RtkJr82qveVv4nHk/iVgtr2mTiQ851e5g4ochRZ8IOOv/qufjMzxpPONVo1F7i8CG30z/WB5dwbMgz1StIP/4BPLWYvu51vgHOSkBFBcfJ7Jb7qbSvp+a1xr9Q/8ettz2X6NqRQvxw+3io0ucNeulTHd9L7kdPBOndeTmtHxiRxwMBEDA+AQggIw/hl7rQZ0a1SiX2NmkBMj7T8QFeu+jyTSgdxe5S4aXDtZt3CZmb76U8WqUho4Y1Fu5lP+1b730xTuQ5oj4MJ17D6H9mh9E3iFVtWI5CsqWRX3f1sUX3y2Ws0DsZFwwfx45szRy/AyLrBznpnmj59U07fljnHj1+k31WXIXg0ZOsjinK6n8vJ2cj5ngpSE+QJVndBTjwI+81Vzrq3T5iuXuNBY+3KekjGPVKHGWksqX2s8CrRyreYaLz3RTjM9BGytm+qwt3sZ5Z9o8JzRBNDndHd9LpXzr70H+vLkSCXwlLz5BAASMRQACyFjjpavWsk/OmA/eoT7vjVbbxbNA/MeHWrLPCs/IaI23jLdr2VhNmr94lYUI4AcfvPumnBngT21QPF4KGvfZlzQ5maUwXkLhg1D5z5717vaqxdZy3tbMu8SUSNJnz18USx+3HNp1ZWvrvr16tf4krZs1sOg7n7vV8OXuVLZUMenvxJGROaif1jgektavhk965x/lS+HX1GzMLFj4FnH8ICWKsvowlS/4UFfFylodbnr0xGl5jluVCmVpp4gpxUEPbZm1s3RRcUCs1vh8MJ5N4yXYNT/NkexS+r1UyueDVrXW6HnXlni1ZeAaBEBAHwSwC0wf42DYVvDho907vZKo/byt3Fr88NEUn4tI0bzEw8ZiY9qX8y3erV+nhhpcr1K50sRLQFrj5TTtie3aZ3xdVERPfrZGVetki3uOpBzapolFGt80E1vNtbZH+Kx40tqKox2aNXzOogpeeuNjHjhqNQsC7Y8///CP1MyeKS82rFdbuZSf/M41MYMVJQIIetu0Yq2xWMJ8qnRxiyaxE/38xT+r4ocFXjGrcAXaozH45efFafTWjvQsLGUoA7G0KPOk4HspC3j8j93/HNDeynAEFgm4AQEQMCwBCCDDDp1+Gv5e39fpJ3GuVvmyJW02in+senZuS4u+nkKFxM4xNj4W4YOPP5M+FspLPJsxRJxjpbVBb3VLFGRw1MSZFHnL9i4tDoQ4fdxQalivlrYYec3brIe804NmjB9GfASHtfFuJK3tcUNQPm15tq4nihPT+XwzXhqzZxwHqFuHNmL31yT1pHNt3jc6tkkkpLTP9XLN4ztj/HBV4GrbxbF2eDmMBXJlMSOkNd4FqLVgERhz3PD+STLj/K58L7X18LX28F4+t6yiEOUwEAABcxDwEQ6ECf/JZI7+oBdeJMBfpTARXfnUmXPyYEs+ToL9XHh5yTqInruayTMIod0HqsVxXcphq7x8dEw4P98Xh4my43XJYkVs7g5TXxYXLTv1JfahYeMZl3VL5sprT/+Dd36xo/al8Kvy74G4Z1HEy1slBUP+0U/O7t2/L5YdbwtxeFv2M1eO7OqRGsm9m9rPOQK0cs5XdeHwbSvydHJt4qVODlfAcX94jNn5ns9Ps54dcvV7eS7sEjUJfVNtRg9xXMugvt3Ue1yAAAgYmwAEkLHHL823PikB5AocDjjITtmKfff5OLkzS7nHZ9ohMHHGN8SO6Ww8e7Xhf18nO+uUduigpyBgfAJYAjP+GKIHbiTQonF9dZmOi124bLUbS0dRRiHAM0or1vymNveVFo0gflQauAABcxCAADLHOKIXbiLAARQ/GPBk2WOj2NFm66wuN1WHYnRKYNHyNWJ5LUq2LihrFurX0zKulE6bjWaBAAg4QQACyAlYyJo2CNQXu4yU3WfsP/L53B/SRsfRS0kgWhx8Onf+MpXGcLHzzpnDcdUXcQECIKBrAhBAuh4eNM5bBPgEej6nKjgoK+09cIQ4yCMsbRBgPzCOYM1jzzGrmjeqlzY6jl6CQBojACfoNDbgZusu757iQzYV8/fnwIC5lVt8ggAIgAAIgIBNAhBANrEgEQRAAARAAARAwMwEsARm5tFF30AABEAABEAABGwSgACyiQWJIAACIAACIAACZiYAAWTm0UXfQAAEQAAEQAAEbBKAALKJBYkgAAIgAAIgAAJmJgABZObRRd9AAARAAARAAARsEoAAsokFiSAAAiAAAiAAAmYmAAFk5tFF30AABEAABEAABGwSgACyiQWJIAACIAACIAACZiYAAWTm0UXfQAAEQAAEQAAEbBKAALKJBYkgAAIgAAIgAAJmJgABZObRRd9AAARAAARAAARsEoAAsokFiSAAAiAAAiAAAmYmAAFk5tFF30AABEAABEAABGwS+D/F7WJJWhEFwQAAAABJRU5ErkJggg==)
予測
predict()
関数を使って、予測結果をかえすことができます。ここでは、wool="A", tension="L"
の場合の予測結果を比較します。
predict(wb.poisson, newdata=data.frame(wool="A", tension="L"), type="response")
1
40.12354
predict(wb.qpoisson, newdata=data.frame(wool="A", tension="L"), type="response")
1
40.12354
predict(wb.negbin, newdata=data.frame(wool="A", tension="L"), type="response")
1
39.3838
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5ris57WQ5p6c44KS5q+U6LyD44GX44G+44GZ44CCCmBgYHtyIHByZWRpY3RfcmVzfQpwcmVkaWN0KHdiLnBvaXNzb24sIG5ld2RhdGE9ZGF0YS5mcmFtZSh3b29sPSJBIiwgdGVuc2lvbj0iTCIpLCB0eXBlPSJyZXNwb25zZSIpCnByZWRpY3Qod2IucXBvaXNzb24sIG5ld2RhdGE9ZGF0YS5mcmFtZSh3b29sPSJBIiwgdGVuc2lvbj0iTCIpLCB0eXBlPSJyZXNwb25zZSIpCnByZWRpY3Qod2IubmVnYmluLCBuZXdkYXRhPWRhdGEuZnJhbWUod29vbD0iQSIsIHRlbnNpb249IkwiKSwgdHlwZT0icmVzcG9uc2UiKQpgYGAKCg==